Bailey signed a minor-league contract with the White Sox on Thursday.
Bailey announced in early January via his personal Twitter account that he resumed throwing off flat ground.
Bailey was non-tendered by the Reds on Tuesday, but he re-signed with the team on a minor-league deal that includes an invitation to spring training, C. Trent Rosecrans of The Athletic reports.
The Reds placed Bailey (elbow) on the 60-day injured list Monday.
Bailey (elbow) announced on his personal Twitter feed that he underwent successful Tommy John surgery Friday.
Bailey will undergo Tommy John surgery next week and miss the entirety of the 2021 season, Mark Sheldon of MLB.com reports.
Bailey was traded from the Astros to the Reds on Friday in exchange for cash.
Bailey was optioned to the Astros' alternate training site Saturday, Chandler Rome of the Houston Chronicle reports.
Bailey had his minor-league contract selected Thursday, Julia Morales of AT&T SportsNet Southwest reports.
Bailey was added to the Astros' 60-man player pool.