Exhibit 23.1

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We consent to the incorporation by reference in this Registration Statement on Form S-8 of Triumph Bancorp, Inc. of our report dated February 12, 2019 relating to the consolidated financial statements and effectiveness of internal control over financial reporting appearing in the Annual Report on Form 10-K of Triumph Bancorp, Inc. for the year ended December 31, 2018.

/s/ Crowe LLP

Crowe LLP

Dallas, Texas

December 20, 2019