Exhibit 32.1

STATEMENT FURNISHED PURSUANT TO SECTION 906 OF THE

SARBANES-OXLEY ACT OF 2002, 18 U.S.C. SECTION 1350

In connection with the Quarterly Report on Form 10-Q of Origin Bancorp, Inc. (the “Company”), for the quarter ended June 30, 2021, as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Drake Mills, Chairman, President and Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that, to my knowledge:

1.The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

2.The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company at the dates and for the periods presented in the financial statements included in such Report.

Date: August 4, 2021	By:	/s/ Drake Mills
		Drake Mills
		Chairman, President and Chief Executive Officer