The White Sox selected Bush's contract from Triple-A Charlotte on Monday.
Bush will fill the opening in the White Sox rotation to start Monday's game against the Athletics in his MLB debut. The 24-year-old has logged a 6.16 ERA across 19 innings for Charlotte following his promotion from Double-A Birmingham in early July, making him a risky streaming option, despite pitching in a hitter-friendly park in Oakland against a strikeout-prone Athletics lineup.