He is the son of Devin Bush Sr., who played at the safety position in the National Football League (NFL) from 1995 to 2002.

[3][4] In February 2016, Michigan hired Bush's father as a defensive analyst for the football coaching staff.

Following the 2017 season, Bush was named to the All-Big Ten defensive first-team by the coaches, and second-team by the media.

[29] In Week 3 against the San Francisco 49ers, Bush recorded a team high 11 tackles and recovered a fumble forced by safety Minkah Fitzpatrick in the 24–20 loss.

[30] In Week 4 against the Cincinnati Bengals, Bush recorded nine tackles and made his first career sack on Andy Dalton in the 27–3 win.

[31] In Week 5 against the Baltimore Ravens, Bush recorded his first career interception off Lamar Jackson in the 26–23 loss.

[33] Bush became the first rookie to record a fumble return for a touchdown and an interception in the same game since Chicago Bears' safety Eddie Jackson accomplished this feat in 2017.

[34] In Week 12 against the Bengals, Bush recorded four tackles and forced a fumble on wide receiver Tyler Boyd which was recovered by Minkah Fitzpatrick in the 16–10 win.

[38] Bush suffered a torn ACL in the second quarter of the week 6 game against the Cleveland Browns,[39] and was placed on injured reserve on October 23, 2020.

[41] The Steelers declined the fifth-year option on Bush's contract on May 2, 2022, making him a free agent after the season.