He played in Major League Baseball (MLB) for the Texas Rangers, Los Angeles Dodgers, Minnesota Twins, and Toronto Blue Jays.

[8][9] On April 9, Tepesch went 7+1⁄3 innings and gave up four hits, three walks, one run, and struck out five while getting the win in his major league debut against the Tampa Bay Rays.

[12] However, on January 27, 2016, Tepesch re-signed with the Rangers on a minor league contract that included an invitation to spring training.

[16] In 3 starts for the Triple-A Nashville Sounds, he posted a 1-1 record and 5.51 ERA with 6 strikeouts across 16+1⁄3 innings pitched.

[20] He started Minnesota's May 6 game against the Boston Red Sox, allowing 7 runs (1 earned) on 5 hits across 1+2⁄3 innings.

[24] Tepesch re-signed with Toronto on a minor league contract on March 3, 2018, and was invited to spring training.

[25] In 10 games (8 starts) for Triple-A Buffalo, he struggled to a 1-6 record and 7.90 ERA with 20 strikeouts across 41 innings pitched.

On August 8, 2018, Tepesch was traded to the Detroit Tigers in exchange for cash considerations, and assigned to the Double-A Erie SeaWolves.