Bush is scheduled to start Monday's game against the Yankees at Guaranteed Rate Field.
He'll make a second straight turn through the rotation after he was dealt a loss in his big-league debut against Oakland this past Monday, when he lasted four innings and struck out three while allowing three earned runs on two hits and five walks. The 6-foot-6 lefty had been plagued by control problems at his previous stops at Double-A Birmingham (14.5 percent walk rate) and Triple-A Charlotte (7.1 percent walk rate) prior to getting called up, so he'll likely need to display some improvement in that regard before he can be streamed or rostered with any confidence.