Exhibit 32.1

CERTIFICATION OF PRINCIPAL EXECUTIVE OFFICER, SECTION 906

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

I, Jeffrey S. Levin, the Chief Executive Officer (Principal Executive Officer) of T SERIES MIDDLE MARKET LOAN FUND LLC (the “Company”), hereby certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

•the Form 10-Q of the Company for the quarter ended September 30, 2024 as filed with the Securities and Exchange Commission on the date hereof (the “Form 10-Q”), fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

•the information contained in the Form 10-Q fairly presents, in all material respects, the financial condition and results of operations of the Company.

Dated: November 13, 2024

/s/ Jeffrey S. Levin

Jeffrey S. Levin

Chief Executive Officer

(Principal Executive Officer)