The Texas Rangers selected Tate in the first round of the 2015 MLB draft and traded him to the New York Yankees during the 2016 season.

He then began to train at the Major League Baseball (MLB) Urban Youth Academy in Compton, California.

[6] Tate was expected to enter his junior season in 2015 as the closer again, but was converted into a starting pitcher after an injury to one of the team's starters.

[18] On August 1, 2016, the Rangers traded Tate and fellow prospects Erik Swanson and Nick Green to the New York Yankees in exchange for Carlos Beltrán.

The Yankees promoted him to the Trenton Thunder of the Double–A Eastern League in August,[21] where he finished the season, posting a 1–2 record with a 3.24 ERA in 25 innings.

[22] On July 24, 2018, the New York Yankees traded Tate, Cody Carroll, and Josh Rogers to the Baltimore Orioles in exchange for Zack Britton.

[24] Tate split the 2018 season between the Double-A Trenton Thunder and the Double–A Bowie Baysox of the Eastern League, accumulating a 7–5 record with a 4.16 ERA in 123+1⁄3 innings.

Tate enjoyed a career year in 2022, appearing in 67 games for Baltimore and posting a 4-4 record and 3.05 ERA with 60 strikeouts and 5 saves in 73+2⁄3 innings pitched.

[29] On February 16, it was announced that Tate had suffered a flexor strain in late November and would miss the first month of the season as a result.