Company: TEM
Filing Date: 2025-08-08
Form Type: S-3ASR
Source: 0001193125-25-175993
Chunk: 87

Company: Tempus AI, Inc.
Filing Date: 2025-08-08
Form: S-3ASR
Chunk 87
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, unenforceable. In the event that a claim for indemnification against such liabilities (other than the payment by the registrant of expenses incurred or paid by a director, officer or controlling person of the registrant in the
successful defense of any action, suit or proceeding) is asserted by such director, officer or controlling person in connection with the securities being registered, the registrant will, unless in the opinion of its counsel the matter has been
settled by controlling precedent, submit to a court of appropriate jurisdiction the question whether such indemnification by it is against public policy as expressed in the Securities Act and will be governed by the final adjudication of such issue.

(j) The undersigned registrant hereby undertakes to file an application for the purpose of determining the eligibility of the trustee to
act under subsection (a) of section 310 of the Trust Indenture Act in accordance with the rules and regulations prescribed by the Commission under section 305(b)(2) of the Trust Indenture Act.

II-5

SIGNATURES Pursuant to the requirements of the Securities Act of 1933, as amended, the registrant certifies that it has reasonable grounds to believe that it meets all of the requirements for filing on Form S-3and has duly caused this registration statement to be signed on its behalf by the undersigned, thereunto duly authorized, in Chicago, Illinois, on August 8, 2025.

| TEMPUS AI, INC. |     |                                               |
| By:             |     | /s/ Eric Lefkofsky                            |
|                 |     | Eric Lefkofsky                                |
|                 |     | Chief Executive Officer, Founder and Chairman |

POWER OF ATTORNEY KNOW ALL PERSONS BY THESE PRESENTS, that each person whose signature appears below constitutes and appoints Eric Lefkofsky, James Rogers and Andrew Polovin, and each of them, as true and lawful attorneys-in-factand agents, with full powers of substitution and resubstitution, for them and in their name, place and stead, in any and all capacities, to sign any and all amendments to this registration statement, and to file the same, with all exhibits thereto, and other documents in connection therewith, with the Securities and Exchange Commission, and generally to do all such things in their names and behalf in their capacities as officers and directors to enable Tempus AI, Inc. to comply with the provisions of the Securities Act, and all requirements of