[8] Dowdy made his professional debut in 2016 with the Single–A West Michigan Whitecaps, with whom he was named a Midwest League All-Star.

He spent 2017 with the High–A Lakeland Flying Tigers, where he was named to the Florida State League All-Star team,[10] pitching to an 8–12 record with a 3.83 ERA in 25 games (22 starts).

On July 31, 2018, Dowdy and Leonys Martín were traded to the Cleveland Indians in exchange for Willi Castro.

[13] The Texas Rangers claimed Dowdy off of waivers from the Mets on March 26, 2019,[14] and shortly thereafter, added him to their 25-man roster.

[15] He made his major league debut on March 28, 2019, versus the Chicago Cubs, allowing three runs over two innings of relief.

[19] Dowdy went to Akron following his return and went 1–1 with a 2.48 ERA over 29 innings for them, before finishing the season by appearing in the International League playoffs for the Columbus Clippers.

[20] Dowdy did not play in a game for the Indians organization in 2020 due to the cancellation of the minor league season because of the COVID-19 pandemic.