[8] Thurman made his professional debut with the Tri-City ValleyCats of the Low–A New York–Penn League after he signed.
[10] The Astros traded Thurman, Mike Foltynewicz, and Rio Ruiz to the Atlanta Braves in exchange for Evan Gattis and James Hoyt on January 14, 2015.
[15][16] Thurman signed a minor league contract with the Los Angeles Dodgers on December 24, 2016.
[17] He appeared in 17 games between the Single–A Rancho Cucamonga Quakes and Double-A Tulsa Drillers and was 2–1 with a 1.91 ERA and 26 strikeouts in 33.0 innings of work.
[19] On April 19, 2018, Thurman signed with the Sioux City Explorers of the American Association of Professional Baseball.