<PAGE>   1
 
--------------------------------------------------------------------------------
--------------------------------------------------------------------------------
 
                                 UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549
 
                             ---------------------
 
                                  FORM 10-Q/A
 
(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, 1998
 
                                       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 1-4101
 
                             ---------------------
 
                         TENNESSEE GAS PIPELINE COMPANY
             (Exact Name of Registrant as Specified in its Charter)
 
<TABLE>
<S>                                            <C>
                   DELAWARE                                      74-1056569
         (State or Other Jurisdiction                         (I.R.S. Employer
      of Incorporation or Organization)                     Identification No.)
 
           EL PASO ENERGY BUILDING
        1001 LOUISIANA, HOUSTON, TEXAS                             77002
   (Address of Principal Executive Offices)                      (Zip Code)
</TABLE>
 
       Registrant's Telephone Number, Including Area Code: (713) 420-2131
 
     Indicate by check mark whether the 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 [ ]
 
     Indicate the number of shares outstanding of each of the issuer's classes
of common stock, as of the latest practicable date.
 
<TABLE>
<CAPTION>
                    CLASS                                       OUTSTANDING
                    -----                                       -----------
<S>                                            <C>
   Common Stock, par value $5.00 per share,
              as of May 14, 1998                                 208 shares
</TABLE>
 
     TENNESSEE GAS PIPELINE COMPANY MEETS THE CONDITIONS OF GENERAL INSTRUCTION
H(1)(a) AND (b) OF FORM 10-Q AND IS THEREFORE FILING THIS REPORT WITH A REDUCED
DISCLOSURE FORMAT AS PERMITTED BY SUCH INSTRUCTION.
 
--------------------------------------------------------------------------------
--------------------------------------------------------------------------------
<PAGE>   2
 
                         TENNESSEE GAS PIPELINE COMPANY
 
                                EXPLANATORY NOTE
 
     Tennessee Gas Pipeline Company hereby amends its Quarterly Report on Form
10-Q for the quarter ended March 31, 1998, to include Restated Financial Data
Schedules for the following periods as a result of a change in reporting entity
as defined in Accounting Principles Board Opinion No. 20, "Accounting Changes":
 
Year Ended December 31, 1997
Year Ended December 31, 1996
Year Ended December 31, 1995
Quarter Ended March 31, 1997
Quarter Ended June 30, 1997
Quarter Ended September 30, 1997
Quarter Ended March 31, 1996
Quarter Ended June 30, 1996
Quarter Ended September 30, 1996
 
     Accordingly, the undersigned hereby amends the Exhibit Index of its
Quarterly Report on Form 10-Q for the quarter ended March 31, 1998, by inserting
in the Exhibit Index Exhibits 27(2) through 27(10) filed herewith. All exhibits
other than Exhibits 27(2) through 27(10) that are marked with an asterisk (*) in
the Exhibit List were filed with the registrant's Form 10-Q on May 15, 1998.
<PAGE>   3
 
                          PART II -- OTHER INFORMATION
 
ITEM 6. EXHIBITS AND REPORTS ON FORM 8-K
 
a. Exhibits
 
     Each exhibit identified below is filed as a part of this report.
 
<TABLE>
<CAPTION>
        EXHIBIT
         NUMBER                                  DESCRIPTION
        -------                                  -----------
<C>                      <S>
          *3.B           -- By-laws of TGP, as amended March 1, 1998.
         *27(1)          -- Financial Data Schedule for the Quarter Ended March 31,
                            1998.
         *27(2)          -- Financial Data Schedule for the Year Ended December 31,
                            1997.
         *27(3)          -- Financial Data Schedule for the Year Ended December 31,
                            1996.
         *27(4)          -- Financial Data Schedule for the Year Ended December 31,
                            1995.
         *27(5)          -- Financial Data Schedule for the Quarter Ended March 31,
                            1997.
         *27(6)          -- Financial Data Schedule for the Quarter Ended June 30,
                            1997.
         *27(7)          -- Financial Data Schedule for the Quarter Ended September
                            30, 1997.
         *27(8)          -- Financial Data Schedule for the Quarter Ended March 31,
                            1996.
         *27(9)          -- Financial Data Schedule for the Quarter Ended June 30,
                            1996.
         *27(10)         -- Financial Data Schedule for the Quarter Ended September
                            30, 1996.
</TABLE>
<PAGE>   4
 
                                   SIGNATURES
 
     Pursuant to the requirements of the Securities Exchange Act of 1934, the
registrant has duly caused this amendment to be signed on its behalf by the
undersigned, thereunto duly authorized.
 
                                            TENNESSEE GAS PIPELINE COMPANY
 
Date: August 14, 1998                              /s/ H. BRENT AUSTIN
                                            ------------------------------------
                                                      H. Brent Austin
                                                  Executive Vice President
                                                 (Chief Financial Officer)
 
Date: August 14, 1998                             /s/ JEFFREY I. BEASON
                                            ------------------------------------
                                                     Jeffrey I. Beason
                                               Vice President and Controller
                                                 (Chief Accounting Officer)
<PAGE>   5
 
                               INDEX TO EXHIBITS
 
<TABLE>
<CAPTION>
                EXHIBIT
                 NUMBER                                  DESCRIPTION
                -------                                  -----------
        <S>                      <C>
        *3.B                     -- By-laws of TGP, as amended March 1, 1998
        *27(1)                   -- Financial Data Schedule for the Quarter ended March 31,
                                    1998
        *27(2)                   -- Financial Data Schedule for the Year Ended December 31,
                                    1997
        *27(3)                   -- Financial Data Schedule for the Year Ended December 31,
                                    1996
        *27(4)                   -- Financial Data Schedule for the Year Ended December 31,
                                    1995
        *27(5)                   -- Financial Data Schedule for the Quarter Ended March 31,
                                    1997
        *27(6)                   -- Financial Data Schedule for the Quarter Ended June 30,
                                    1997
        *27(7)                   -- Financial Data Schedule for the Quarter Ended September
                                    30, 1997
        *27(8)                   -- Financial Data Schedule for the Quarter Ended March 31,
                                    1996
        *27(9)                   -- Financial Data Schedule for the Quarter Ended June 30,
                                    1996
        *27(10)                  -- Financial Data Schedule for the Quarter Ended September
                                    30, 1996
</TABLE>