Burke is listed as the White Sox's probable starting pitcher for Sunday's game against the Athletics in Chicago.
He'll fill the vacant fifth spot in the White Sox rotation after Nick Nastrini was optioned to Triple-A Charlotte earlier this week. Burke was called up from Triple-A in a corresponding move and made his MLB debut out of the bullpen Tuesday against Cleveland, striking out three while allowing an unearned run on three hits and one walk over three innings. He was a full-time starter for Charlotte prior to his promotion, pitching to a 4.62 ERA, 1.29 WHIP and 86:36 K:BB in 64.1 innings.