Company: IXHL
Filing Date: 2025-04-17
Form Type: PRER14A
Source: 0001213900-25-033013
Chunk: 0

Company: Incannex Healthcare Inc.
Filing Date: 2025-04-17
Form: PRER14A
Chunk 0
---
<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. 1)</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                     |

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

Suite 105, 8 Century Circuit

Norwest, NSW 2153

Australia</div>

[●], 2025

To Our Stockholders:

You are cordially invited to attend a special
meeting of stockholders of Incannex Healthcare Inc. to be held at 9:30 am Eastern time on [●], 2025.

We have decided to hold the special meeting virtually
via live webcast on the internet. We believe hosting a virtual special meeting enables greater stockholder attendance and participation
from any location around the world, improves meeting efficiency and our ability to communicate effectively with our stockholders, and
reduces the cost and environmental impact of our special meeting. You will be able to attend the special meeting, vote and submit your
questions during the special meeting by visiting www.meetnow.global/M7SKRH9. You will not be able to attend the special meeting physically
in person.

Details regarding the meeting, the business to
be conducted at the meeting, and information about Incannex Healthcare Inc. that you should consider when you vote your shares are described