Company: IXHL
Filing Date: 2025-10-27
Form Type: DEFA14A
Source: 0001213900-25-102656
Chunk: 0

Company: Incannex Healthcare Inc.
Filing Date: 2025-10-27
Form: DEFA14A
Chunk 0
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<div align='center'>UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

SCHEDULE 14A

Proxy Statement Pursuant to Section 14(a) of
the Securities Exchange Act of 1934

(Amendment No.)</div>

| Filed by the Registrant                    |     | ☒ |
| Filed by a Party other than the Registrant |     | ☐ |

Check the appropriate box:

| ☐ |     | Preliminary Proxy Statement                                                     |
| ☐ |     | Confidential, for Use of the Commission Only (as permitted by Rule 14a-6(e)(2)) |
| ☐ |     | Definitive Proxy Statement                                                      |
| ☒ |     | Definitive Additional Materials                                                 |
| ☐ |     | Soliciting Material Under §240.14a-12                                           |

<div align='center'>Incannex Healthcare Inc.

(Name of Registrant as Specified In Its Charter)

(Name of Person(s) Filing Proxy Statement,
if other than the Registrant)</div>

Payment of Filing Fee (Check all boxes that apply):

| ☒ |     | No fee required                                                                                     |
| ☐ |     | Fee paid previously with preliminary materials                                                      |
| ☐ |     | Fee computed on table in exhibit required by Item 25(b) per Exchange Act Rules 14a-6(i)(1) and 0-11 |

www.investorvote.com/IXHL Easy Online Access — View your proxy materials and vote. Step 1: Step 2: Step 3: Step 4: Step 5: Go to www.investorvote.com/IXHL. Click on the icon on the right to view meeting materials. Return to the investorvote.com window and follow the instructions on the screen to log in. Make your selections as instructed on each screen for your delivery preferences. Vote your shares. Online Go to www.investorvote.com/IXHL or scan the QR code — login details are located in the shaded bar below. Stockholder Meeting Notice 1234 5678 9012 345 Important Notice Regarding the Availability of Proxy Materials for the Incannex Healthcare Inc. Annual Meeting of Stockholders to be Held on December 18, 2025 Under Securities and Exchange Commission rules, you are receiving this notice that the proxy materials for the annual stockholders’ meeting, which include the proxy statement, proxy card and annual report, are available on