Supplemental Prospectus (Form 424B3)

Filed Pursuant to Rule 424(b)(3)

Registration No. 333-280011

HAMILTON LANE PRIVATE INFRASTRUCTURE FUND

SUPPLEMENT DATED MAY 8, 2026

TO THE STATEMENT OF ADDITIONAL INFORMATION

DATED APRIL 1, 2026, AS SUPPLEMENTED

Effective as of the date of this supplement, the following amends, supplements, or modifies certain information contained in the Statement of Additional Information of Hamilton Lane Private Infrastructure Fund (the "Fund") dated April 1, 2026, as supplemented to date (the "SAI").

Appointment of New Secretary

Keith Kleinman has resigned as Secretary of the Fund, effective immediately. Accordingly, all references and information relating to Mr. Kleinman are hereby removed.

The Board approved the appointment of Mary Kate Leonard to serve as Secretary of the Fund, effective immediately.

Accordingly, row four of the table under "Interested Trustees and Officers" on page 15 of the SAI is hereby deleted in its entirety and replaced with the following:

POSITION(S)
WITH THE
FUND

LENGTH
OF TIME
SERVED⁽²⁾

PRINCIPAL
OCCUPATION(S)
DURING PAST
5 YEARS

PORTFOLIOS
IN FUND
COMPLEX
OVERSEEN BY
TRUSTEE⁽³⁾

OTHER
DIRECTORSHIPS⁽⁴⁾
HELD BY TRUSTEE

This Supplement, and the Prospectus and the SAI for Class R, Class I and Class Y Shares dated April 1, 2026, as supplemented to date, of the Fund provide relevant information for all shareholders. The Prospectus and SAI of the Fund have been filed with the U.S. Securities and Exchange Commission, and incorporated by reference. These can be obtained without charge by calling the Fund at (888)-882-8212 or by visiting www.hamiltonlane.com.

Investors Should Retain This Supplement for Future Reference