Just put him in the bullpen, they need a lefty there...
Eventually they're gonna need to call up one of their prospect, maybe Brown and hope he provides the rotation a spark, otherwise they basically will be relying mostly on Steele, Taillon, Stroman returning to form, and the offense.
They really can't afford to do bullpen days every 5 games after the Whitesox series because of no days off and taxing the bullpen.