Company: IXHL
Filing Date: 2025-05-16
Form Type: DEFA14A
Source: 0001213900-25-044454
Chunk: 2

Company: Incannex Healthcare Inc.
Filing Date: 2025-05-16
Form: DEFA14A
Chunk 2
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 specifically supplemented or amended by the information in this supplement, all information
set forth in the Proxy Statement continues to apply and should be considered when voting your shares using one of the methods described
in the Proxy Statement.

Voting Matters

If
you have not yet voted, we strongly encourage you to vote as promptly as possible. You may vote via webcast at the Special Meeting or
by internet, telephone or mail by following the instructions on the proxy card or voting instruction form previously mailed to you.

If you have already voted, you do not need to take any action unless you wish to revoke your proxy or change your vote.It is not necessary
for you to revote your shares if you have already voted. Proxy cards and voting instruction forms already returned by shareholders remain
valid and the shares represented thereby will be voted at our Special Meeting accordingly unless revoked. Information regarding how to
vote your shares, or change your proxy or voting instructions, is available under “Important Information About the Special Meeting
and Voting” of the Proxy Statement.

Set forth below is the
full text of the Current Report on Form 8-K, filed May 15, 2025.

<div align='center'>UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 8-K

CURRENT REPORT

Pursuant to Section 13 or 15(d)

of the Securities Exchange Act of 1934

Date of Report (Date of
earliest event reported): May 15, 2025

Incannex Healthcare Inc.

(Exact name of registrant
as specified in its charter)</div>

| Delaware                     |     | 001-41106               |     | 93-2403210         |
| (State or other Jurisdiction 
 of Incorporation)            |     | -Commission File Number |     | -IRS Employer      
 Identification No. |

| Suite 105, 8 Century Circuit Norwest,    
 NSW                                      
 2153 Australia                           |     | Not applicable |
| (Address of Principal Executive Offices) |     | -Zip Code      |

<div align='center'>Registrant’s Telephone
Number, including Area Code: +61 409 840 786

(Former Name or
Former Address, if Changed Since Last Report): Not Applicable</div>

Check the appropriate
box below if the Form 8-K filing is intended to simultaneously satisfy the filing obligation of the registrant under any of the following
provisions:

| �