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                                FORM 10-Q


                    SECURITIES AND EXCHANGE COMMISSION
                         WASHINGTON, D.C.  20549

(MARK ONE)

(X)  QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d)
     OF THE SECURITIES EXCHANGE ACT OF 1934

For the quarterly period ended March 31, 1999

                                    OR

( )  TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d)
     OF THE SECURITIES EXCHANGE ACT OF 1934

For the transition period from ________________ to ________________

Commission File Number 33-47668-01

         SOUTHWEST ROYALTIES INSTITUTIONAL 1992-93 INCOME PROGRAM
         Southwest Royalties Institutional Income Fund XI-A, L.P.
                  (Exact name of registrant as specified
                  in its limited partnership agreement)

Delaware                                     75-2427297
(State or other jurisdiction of                (I.R.S. Employer
incorporation or organization)                Identification No.)


                       407 N. Big Spring, Suite 300
                           Midland, Texas 79701
                 (Address of principal executive offices)

                             (915) 686-9927
                     (Registrant's telephone number,
                           including area code)

Indicate  by  check  mark  whether registrant (1)  has  filed  all  reports
required to be filed by Section 13 or 15(d) of the Securities Exchange  Act
of 1934 during the preceding 12 months (or for such shorter period that the
registrant was required to file such reports), and (2) has been subject  to
such filing requirements for the past 90 days:

                            Yes   X   No

        The total number of pages contained in this report is 15.

<PAGE>
                     PART I. - FINANCIAL INFORMATION


Item 1.   Financial Statements

The  unaudited  condensed financial statements included  herein  have  been
prepared  by  the Registrant (herein also referred to as the "Partnership")
in  accordance  with generally accepted accounting principles  for  interim
financial information and with the instructions to Form 10-Q and Rule 10-01
of Regulation S-X.  Accordingly, they do not include all of the information
and  footnotes  required  by generally accepted accounting  principles  for
complete   financial  statements.   In  the  opinion  of  management,   all
adjustments necessary for a fair presentation have been included and are of
a  normal  recurring nature.  The financial statements should  be  read  in
conjunction with the audited financial statements and the notes thereto for
the  year ended December 31, 1998 which are found in the Registrant's  Form
10-K  Report  for  1998 filed with the Securities and Exchange  Commission.
The December 31, 1998 balance sheet included herein has been taken from the
Registrant's 1998 Form 10-K Report.  Operating results for the three  month
period  ended March 31, 1999 are not necessarily indicative of the  results
that may be expected for the full year.

<PAGE>
         Southwest Royalties Institutional Income Fund XI-A, L.P.

                              Balance Sheets


                                                  March 31,     December 31,
                                                     1999           1998
                                                  ---------     ------------
                                                 (unaudited)
  Assets

Current assets:
 Cash and cash equivalents                    $     25,481         57,406
 Receivable from Managing General Partner           15,947         30,869
                                                 ---------      ---------
    Total current assets                            41,428         88,275
                                                 ---------      ---------
Oil and gas properties - using the
 full-cost method of accounting                  2,029,769      2,029,769
  Less accumulated depreciation,
   depletion and amortization                    1,556,862      1,541,862
                                                 ---------      ---------
    Net oil and gas properties                     472,907        487,907
                                                 ---------      ---------
                                              $    514,335        576,182
                                                 =========      =========
  Liabilities and Partners' Equity

Partners' equity:
 General partners                             $   (26,367)       (25,178)
 Limited partners                                  540,702        601,360
                                                 ---------      ---------
    Total partners' equity                         514,335        576,182
                                                 ---------      ---------
                                              $    514,335        576,182
                                                 =========      =========

<PAGE>
         Southwest Royalties Institutional Income Fund XI-A, L.P.

                         Statements of Operations
                               (unaudited)


                                                        Three Months Ended
                                                            March 31,
                                                          1999      1998
                                                          ----      ----
  Revenues

Income from net profits interests                   $     9,562     29,149
Interest                                                    483        573
Miscellaneous income                                          -    (2,389)
                                                        -------    -------
                                                         10,045     27,333
                                                        -------    -------

  Expenses

General and administrative                               11,932     18,473
Depreciation, depletion and amortization                 15,000     33,000
                                                        -------    -------
                                                         26,932     51,473
                                                        -------    -------
Net loss                                            $  (16,887)   (24,140)
                                                        =======    =======
Net loss allocated to:

 Managing General Partner                           $     (170)        797
                                                        =======    =======
 General partner                                    $      (19)         89
                                                        =======    =======
 Limited partners                                   $  (16,698)   (25,026)
                                                        =======    =======
  Per limited partner unit                          $    (3.08)       4.62
                                                        =======    =======

<PAGE>
         Southwest Royalties Institutional Income Fund XI-A, L.P.

                         Statements of Cash Flows
                               (unaudited)


                                                        Three Months Ended
                                                            March 31,
                                                          1999      1998
                                                          ----      ----
Cash flows from operating activities:

 Cash received from oil and gas sales               $    20,744     73,663
 Cash paid to suppliers                                 (8,192)   (12,773)
 Interest received                                          483        573
                                                       --------   --------
  Net cash provided by operating activities              13,035     61,463
                                                       --------   --------
Cash flows from investing activities:

 Sale of oil and gas properties                               -      3,808
                                                       --------   --------
Cash flows used in financing activities:

 Distributions to partners                             (44,960)  (108,000)
                                                       --------   --------
Net decrease in cash and cash equivalents              (31,925)   (42,729)

 Beginning of period                                     57,406     52,190
                                                       --------   --------
 End of period                                      $    25,481      9,461
                                                       ========   ========

                                                               (continued)

<PAGE>
         Southwest Royalties Institutional Income Fund XI-A, L.P.

                   Statements of Cash Flows, continued
                               (unaudited)


                                                        Three Months Ended
                                                            March 31,
                                                          1999      1998
                                                          ----      ----
Reconciliation of net loss to net cash
  provided by operating activities:

Net loss                                            $  (16,887)   (24,140)

Adjustments to reconcile net loss to net cash
  provided by operating activities:

  Depletion, depreciation and amortization               15,000     33,000
  Decrease in receivables                                11,182     44,514
  Increase in payables                                    3,740      8,089
                                                        -------    -------
Net cash provided by operating activities           $    13,035     61,463
                                                        =======    =======

<PAGE>
         Southwest Royalties Institutional Income Fund XI-A, L.P.
                     (a Delaware limited partnership)

                      Notes to Financial Statements


1.   Organization
     Southwest Royalties Institutional Income Fund XI-A, L.P. was organized
     under  the  laws  of the state of Delaware on May  5,  1992,  for  the
     purpose  of acquiring producing oil and gas properties and to  produce
     and market crude oil and natural gas produced from such properties for
     a  term  of 50 years, unless terminated at an earlier date as provided
     for  in the Partnership Agreement.  The Partnership will sell its  oil
     and  gas  production  to a variety of purchasers with  the  prices  it
     receives  being  dependent upon the oil and  gas  economy.   Southwest
     Royalties,  Inc.  serves as the Managing General  Partner  and  H.  H.
     Wommack, III, as the individual general partner.  Partnership  profits
     and losses, as well as all items of income, gain, loss, deduction,  or
     credit, will be credited or charged as follows:

                                                 Limited      General
                                                 Partners     Partners (1)
                                                 --------     --------
     Organization and offering expenses (2)      100%            -
     Acquisition costs                           100%            -
     Operating costs                              90%          10%
     Administrative costs (3)                     90%          10%
     Direct costs                                 90%          10%
     All other costs                              90%          10%
     Interest income earned on capital
      contributions                              100%            -
     Oil and gas revenues                         90%          10%
     Other revenues                               90%          10%
     Amortization                                100%            -
     Depletion allowances                        100%            -

          (1)   H.H.  Wommack,  III,  President  of  the  Managing  General
          Partner, is an additional general partner in the Partnership  and
          has  a  one percent interest in the Partnership.  Mr. Wommack  is
          the  majority  stockholder of the Managing General Partner  whose
          continued  involvement in Partnership management is important  to
          its  operations.  Mr. Wommack, as a general partner, shares  also
          in Partnership liabilities.

          (2)   Organization and Offering Expenses (including all  cost  of
          selling  and  organizing the offering) include a payment  by  the
          Partnership of an amount equal to three percent (3%)  of  Capital
          Contributions   for   reimbursement  of   such   expenses.    All
          Organization Costs (which excludes sales commissions and fees) in
          excess  of  three  percent  (3%) of  Capital  Contributions  with
          respect  to  a Partnership will be allocated to and paid  by  the
          Managing General Partner.

          (3)   Administrative  Costs will be paid from  the  Partnership's
          revenues;  however; Administrative Costs in the Partnership  year
          in  excess of two percent (2%) of Capital Contributions shall  be
          allocated to and paid by the Managing General Partner.

2.   Summary of Significant Accounting Policies
     The  interim financial information as of March 31, 1999, and  for  the
     three  months ended March 31, 1999, is unaudited.  Certain information
     and  footnote  disclosures normally included in  financial  statements
     prepared  in accordance with generally accepted accounting  principles
     have been condensed or omitted in this Form 10-Q pursuant to the rules
     and  regulations of the Securities and Exchange Commission.   However,
     in  the  opinion  of  management, these interim  financial  statements
     include all the necessary adjustments to fairly present the results of
     the interim periods and all such adjustments are of a normal recurring
     nature.  The interim consolidated financial statements should be  read
     in  conjunction  with the audited financial statements  for  the  year
     ended December 31, 1998.

<PAGE>
Item 2.   Management's  Discussion and Analysis of Financial Condition  and
          Results of Operations

General

Southwest Royalties Institutional Income Fund XI-A, L.P. (the "Partnership"
or  "Registrant") was organized as a Delaware limited partnership on May 5,
1992.  The offering of such limited partnership interests began August  20,
1992,  as  part  of  a shelf offering registered under the  name  Southwest
Royalties   Institutional   1992-93  Income   Program.    Minimum   capital
requirements  for the Partnership were met on December 10, 1992,  with  the
offering  of limited partnership interests concluding April 30,  1993.   At
the  conclusion  of  the  offering of limited  partnership  interests,  217
limited partners had purchased 5,418 units for $2,709,000.

The Partnership was formed to acquire royalty and net profits interests  in
producing  oil  and  gas properties, to produce and market  crude  oil  and
natural  gas  produced  from such properties, and  to  distribute  the  net
proceeds from operations to the limited and general partners.  Net revenues
from  producing  oil  and gas properties will not be  reinvested  in  other
revenue  producing  assets except to the extent that production  facilities
and wells are improved or reworked or where methods are employed to improve
or enable more efficient recovery of oil and gas reserves.

Increases   or   decreases   in  Partnership   revenues   and,   therefore,
distributions  to partners will depend primarily on changes in  the  prices
received  for  production,  changes in volumes of  production  sold,  lease
operating  expenses, enhanced recovery projects, offset drilling activities
pursuant  to farm-out arrangements, sales of properties, and the  depletion
of  wells.   Since  wells deplete over time, production  can  generally  be
expected to decline from year to year.

Well  operating costs and general and administrative costs usually decrease
with   production   declines;  however,  these  costs  may   not   decrease
proportionately.  Net income available for distribution to the partners  is
therefore expected to fluctuate in later years based on these factors.

Based  on  current  conditions, management does not  anticipate  performing
workovers during 1999 to enhance production.

Oil and Gas Properties

Oil  and  gas  properties  are accounted for at cost  under  the  full-cost
method.  Under this method, all productive and nonproductive costs incurred
in  connection with the acquisition, exploration and development of oil and
gas  reserves  are capitalized.  Gain or loss on the sale of  oil  and  gas
properties  is not recognized unless significant oil and gas  reserves  are
involved.

The  Partnership's policy for depreciation, depletion and  amortization  of
oil  and  gas  properties is computed under the units  of  revenue  method.
Under the units of revenue method, depreciation, depletion and amortization
is  computed  on  the  basis of current gross revenues from  production  in
relation  to future gross revenues, based on current prices, from estimated
production of proved oil and gas reserves.

Should the net capitalized costs exceed the estimated present value of  oil
and gas reserves, discounted at 10%, such excess costs would be charged  to
current  expense.  As of March 31, 1999, the net capitalized costs did  not
exceed the estimated present value of oil and gas reserves.  A continuation
of  the  oil price environment experienced during 1998 will have an adverse
affect  on  the Company's revenues and operating cash flow.  Also,  further
declines in oil prices could result in additional decreases in the carrying
value of the Company's oil and gas properties.

<PAGE>
Results of Operations

A.  General Comparison of the Quarters Ended March 31, 1999 and 1998

The  following  table  provides certain information  regarding  performance
factors for the quarters ended March 31, 1999 and 1998:

                                               Three Months
                                                   Ended         Percentage
March 31,                                             Increase
                                              1999      1998    (Decrease)
                                              ----      ----    ----------
Average price per barrel of oil           $    8.83     11.72    (25%)
Average price per mcf of gas              $    1.62      1.66     (2%)
Oil production in barrels                     1,900     3,650    (48%)
Gas production in mcf                        24,700    37,400    (34%)
Income from net profits interests         $   9,562    29,149    (67%)
Partnership distributions                 $  44,960   108,000    (58%)
Limited partner distributions             $  43,960    97,200    (55%)
Per unit distribution to limited
 partners                                 $    8.11     17.94    (55%)
Number of limited partner units               5,418     5,418

Revenues

The  Partnership's  income from net profits interests decreased  to  $9,562
from  $29,149 for the quarters ended March 31, 1999 and 1998, respectively,
a  decrease of 67%.  The principal factors affecting the comparison of  the
quarters ended March 31, 1999 and 1998 are as follows:

1.  The  average  price  for a barrel of oil received  by  the  Partnership
    decreased  during the quarter ended March 31, 1999 as compared  to  the
    quarter ended March 31, 1998 by 25%, or $2.89 per barrel, resulting  in
    a  decrease  of  approximately  $10,500  in  income  from  net  profits
    interests.  Oil sales represented 30% of total oil and gas sales during
    the quarter ended March 31, 1999 and 41% during quarter ended March 31,
    1998.

    The  average  price  for  an  mcf of gas received  by  the  Partnership
    decreased during the same period by 2%, or $.04 per mcf, resulting in a
    decrease of approximately $1,500 in income from net profits interests.

    The  total  decrease in income from net profits interests  due  to  the
    change  in prices received from oil and gas production is approximately
    $12,000.   The market price for oil and gas has been extremely volatile
    over  the  past  decade, and management expects  a  certain  amount  of
    volatility to continue in the foreseeable future.

<PAGE>
2.  Oil  production decreased approximately 1,750 barrels or 48% during the
    quarter ended March 31, 1999 as compared to the quarter ended March 31,
    1998,  resulting in a decrease of approximately $15,500 in income  from
    net profits interests.

    Gas  production  decreased approximately 12,700 mcf or 34%  during  the
    same period, resulting in a decrease of approximately $20,600 in income
    from net profits interests.

    The  total  decrease in income from net profits interests  due  to  the
    change  in  production  is  approximately  $36,100.   The  decrease  in
    production is primarily due to property sales.

3.  Lease  operating  costs  and  production  taxes  were  38%  lower,   or
    approximately $28,500 less during the quarter ended March 31,  1999  as
    compared  to  the quarter ended March 31, 1998.  The decline  in  lease
    operating  costs  is primarily in relation to the drop  in  oil  prices
    which  made it uneconomical to perform workovers necessary to  increase
    production and perform major repairs thus making it necessary to  shut-
    in some wells.

Costs and Expenses

Total costs and expenses decreased to $26,932 from $51,473 for the quarters
ended  March  31,  1999  and 1998, respectively, a decrease  of  48%.   The
decrease  is  the  result  of  lower  depletion  expense  and  general  and
administrative expense.

1.  General and administrative costs consists of independent accounting and
    engineering  fees,  computer services, postage,  and  Managing  General
    Partner  personnel costs.  General and administrative  costs  decreased
    35% or approximately $6,500 during the quarter ended March 31, 1999  as
    compared to the quarter ended March 31, 1998.  The decrease of  general
    and administrative costs for the quarter were in part due to additional
    accounting costs incurred in 1998 in relation to the outsourcing of K-1
    tax  package preparation; a change in auditors requiring opinions  from
    both  the  predecessors and successor auditors  and  a  new  accounting
    pronouncement requiring review by the independent auditors of  the  10-
    Q's.   The Managing General Partner has also made an effort to cut back
    on general and administrative costs whenever and wherever possible.

2.  Depletion expense decreased to $15,000 for the quarter ended March  31,
    1999  from  $33,000  for the same period in 1998.   This  represents  a
    decrease  of 55%.  Depletion is calculated using the units  of  revenue
    method  of  amortization based on a percentage of current period  gross
    revenues  to  total future gross oil and gas revenues, as estimated  by
    the  Partnership's  independent  petroleum  consultants.   Contributing
    factors  to  the  decline in depletion expense between the  comparative
    periods  were the decrease in oil and gas revenue and the  decrease  in
    the price of oil used to determine the Partnership's reserves.

<PAGE>
Liquidity and Capital Resources

The  primary source of cash is from operations, the receipt of income  from
interests in oil and gas properties.  The Partnership knows of no  material
change, nor does it anticipate any such change.

Cash  flows provided by operating activities were approximately $13,000  in
the  quarter ended March 31, 1999 as compared to approximately  $61,500  in
the quarter ended March 31, 1998.  The primary source of the 1999 cash flow
from operating activities was profitable operations.

There  were  no cash flows provided by investing activities in the  quarter
ended  March  31,  1999.  Cash flows provided by investing activities  were
approximately $3,800 in the quarter ended March 31, 1998.

Cash  flows used in financing activities were approximately $45,000 in  the
quarter ended March 31, 1999 as compared to approximately $108,000  in  the
quarter ended March 31, 1998.  The only use in financing activities was the
distributions to partners.

Total distributions during the quarter ended March 31, 1999 were $44,960 of
which  $43,960  was distributed to the limited partners and $1,000  to  the
general partners.  The per unit distribution to limited partners during the
quarter  ended  March 31, 1999 was $8.11.  Total distributions  during  the
quarter ended March 31, 1998 were $108,000 of which $97,200 was distributed
to  the limited partners and $10,800 to the general partners.  The per unit
distribution  to limited partners during the quarter ended March  31,  1998
was $17.94.

The  primary source for the 1999 distributions of $45,000 was oil  and  gas
operations  of approximately $13,000, with the balance from available  cash
on  hand  at the beginning of the period.  The primary source for the  1998
distributions  of  $108,000  was oil and gas  operations  of  approximately
$61,500.

Since  inception of the Partnership, cumulative monthly cash  distributions
of  $1,579,408  have  been made to the partners.  As  of  March  31,  1999,
$1,447,158 or $267.10 per limited partner unit has been distributed to  the
limited partners, representing a 53% return of the capital contributed.

As  of March 31, 1999, the Partnership had approximately $41,400 in working
capital.   The  Managing  General Partner knows of no  unusual  contractual
commitments  and  believes  the  revenues  generated  from  operations  are
adequate to meet the needs of the Partnership.

Liquidity - Managing General Partner

The  Managing General Partner has a highly leveraged capital structure with
over   $21.0  million  of  interest  payments  due  in  1999  on  its  debt
obligations.   Due  to  severely depressed commodity prices,  the  Managing
General  Partner  is experiencing difficulty in generating sufficient  cash
flow  to  meet  its obligations and sustain its operations.   The  Managing
General  Partner is currently in the process of renegotiating the terms  of
its  various obligations with its creditors and/or attempting to  seek  new
lenders  or  equity investors.  Additionally, the Managing General  Partner
would   consider  disposing  of  certain  assets  in  order  to  meet   its
obligations.

There  can  be  no  assurance  that  the Managing  General  Partner's  debt
restructuring efforts will be successful or that the lenders will agree  to
a   course   of  action  consistent  with  the  Managing  General  Partners
requirements  in restructuring the obligations.  Even if such agreement  is
reached,  it  may  require approval of additional  lenders,  which  is  not
assured.   Furthermore, there can be no assurance that the sales of  assets
can  be  successfully  accomplished on terms  acceptable  to  the  Managing
General   Partner.   Under  current  circumstances,  the  Managing  General
Partner's  ability to continue as a going concern depends upon its  ability
to  (1)  successfully  restructure  its obligations  or  obtain  additional
financing  as  may  be  required, (2) maintain  compliance  with  all  debt
covenants, (3) generate sufficient cash flow to meet its obligations  on  a
timely  basis, and (4) achieve satisfactory levels of future earnings.   If
the  Managing  General Partner is unsuccessful in its efforts,  it  may  be
unable to meet its obligations making it necessary to undertake such  other
actions as may be appropriate to preserve asset values.

<PAGE>
Information Systems for the Year 2000

The  Managing  General Partner provides all data processing  needs  of  the
Partnership.  The Managing General Partner is continuing in its  effort  to
identify  and  assess its exposure to the potential Year 2000 software  and
imbedded  chip processing and date sensitivity issue.  Through the Managing
General  Partners  data processing subsidiary, Midland Southwest  Software,
Inc., the Managing General Partner proactively initiated a plan to identify
applicable hardware and software, assess impact and effect, estimate costs,
construct and implement corrective actions, and prepare contingency plans.
Identification & Assessment

The  Managing  General  Partner currently believes it  has  identified  the
internal  and external software and hardware that may have date sensitivity
problems.  Four critical systems and/or functions were identified:  (1) the
proprietary software of the Partnership (OGAS) that is used for oil  &  gas
property management and financial accounting functions, (2) the DEC VAX/VMS
hardware and operating system, (3) various third-party application software
including  lease  economic  analysis, fixed  asset  management,  geological
applications, and payroll/human resource programs, and (4) External Agents.

The  proprietary  software of the Partnership is currently  in  process  of
meeting  compliance requirements with an estimated completion date of  mid-
year  1999.   Since this is an internally generated software  package,  the
Managing General Partner has estimated the cost to be approximately $25,000
by  estimating the necessary man-hours.  These modifications are being made
by internal staff and do not represent additional costs to the Partnership.
The  Managing General Partner has not made contingency plans at  this  time
since  the  conversion is ahead of schedule and being handled  by  Managing
General  Partner controlled internal programmers.  Given the complexity  of
the systems being modified, it is anticipated that some problems may arise,
but  with  an expected early completion date, the Managing General  Partner
feels that adequate time is available to overcome unforeseen delays.

DEC has released a fully compliant version of its operating system that  is
used  by  the  Partnership on the DEC VAX system.  It will be installed  in
August 1999, the Managing General Partner believes that this will solve any
potential problems on the system.

The  Managing  General Partner has identified various third-party  software
that may have date sensitivity problems and is working with the vendors  to
secure  solutions as well as prepare contingency plans.  After  review  and
evaluation  of  the vendor plans and status, the Managing  General  Partner
believes that the problems will be resolved prior to the year 2000  or  the
alternate  contingency plan will sufficiently and adequately remediate  the
problem so that there is no material disruption to business functions.

The  External  Agents  of  the  Partnership include  suppliers,  customers,
owners,  vendors, banks, product purchasers including pipelines, and  other
oil  and  gas property operators.  The Managing General Partner is  in  the
process of identifying and communicating with each critical External  Agent
about  its  plan  and progress thereof in addressing the Year  2000  issue.
This process is on schedule and the Managing General Partner, at this time,
believes  that  there  should  be no material  interference  or  disruption
associated with any of the critical External Agent's functions necessary to
the   Partnership's  business.   The  Managing  General  Partner  estimates
completion of this audit by mid-year 1999 and believes that alternate plans
can  be  devised to circumvent any material problems arising from  critical
External Agent noncompliance.

Cost

To  date,  the Managing General Partner has incurred only minimal  internal
man-hour costs for identification, planning, and maintenance.  The Managing
General  Partner believes that the necessary additional costs will also  be
minimal  and most will fall under normal and general maintenance procedures
and updates.  An accurate cost cannot be determined at this time, but it is
expected  that  the total cost to remediate all systems  to  be  less  than
$50,000.

<PAGE>
Risks/Contingency

The  failure to correct critical systems of the Partnership, or the failure
of  a  material business partner or External Agent to resolve critical Year
2000  issues  could  have a serious adverse impact on the  ability  of  the
Partnership  to  continue operations and meet obligations.   Based  on  the
Managing  General  Partner's  evaluation and  assessment  to  date,  it  is
believed  that any interruption in operation will be minor and  short-lived
and  pose no material monetary loss, safety, or environmental risk  to  the
Partnership.   However, until all assessment is complete, it is  impossible
to accurately identify the risks, quantify potential impacts or establish a
final  contingency  plan. The Managing General Partner  believes  that  its
assessment and contingency planning will be complete no later than mid-year
1999.

Worst Case Scenario

The  Securities and Exchange Commission requires that public companies must
forecast the most reasonably likely worst case Year 2000 scenario, assuming
that  the  Managing  General Partner's Year 2000  plan  is  not  effective.
Analysis  of the most reasonably likely worst case Year 2000 scenarios  the
Partnership  may face leads to contemplation of the following possibilities
which,  though  considered  highly  unlikely,  must  be  included  in   any
consideration  of worst cases: widespread failure of electrical,  gas,  and
similar   supplies   by  utilities  serving  the  Partnership;   widespread
disruption  of  the  services of communications  common  carriers;  similar
disruption to means and modes of transportation for the Partnership and its
employees, contractors, suppliers, and customers; significant disruption to
the  Partnership's  ability to gain access to,  and  continue  working  in,
office  buildings  and other facilities; and the failure, of  third-parties
systems,  the  effects  of which would have a cumulative  material  adverse
impact  on  the  Partnership's  critical systems.   The  Partnership  could
experience  an inability by customers, traders, and others  to  pay,  on  a
timely  basis or at all, obligations owed to the Partnership.  Under  these
circumstances, the adverse effect on the Partnership, and the diminution of
Partnership revenues, could be material, although not quantifiable at  this
time.



<PAGE>
                       PART II. - OTHER INFORMATION


Item 1.   Legal Proceedings

          None

Item 2.   Changes in Securities

          None

Item 3.   Defaults Upon Senior Securities

          None

Item 4.   Submission of Matter to a Vote of Security Holders

          None

Item 5.   Other Information

          None

Item 6.   Exhibits and Reports on Form 8-K

          (a) Exhibits:

               27 Financial Data Schedule

               (b)  Reports on Form 8-K:

                     No  reports on Form 8-K were filed during the  quarter
               for which this report is filed.

<PAGE>
                                SIGNATURES


Pursuant  to the requirements of the Securities Exchange Act of  1934,  the
registrant  has duly caused this report to be signed on its behalf  by  the
undersigned thereunto duly authorized.


                              SOUTHWEST ROYALTIES INSTITUTIONAL
                              INCOME FUND XI-A, L.P.
                              a Delaware limited partnership

                              By:  Southwest Royalties, Inc.
                                   Managing General Partner


                              By:  /s/ Bill E. Coggin
                                   ------------------------------
                                   Bill E. Coggin, Vice President
                                   and Chief Financial Officer


Date:  May 14, 1999

<PAGE>