May is expected to make his Brewers debut against the Pirates on Thursday, Sophia Minnaert of Brewers.tv reports.
Both May and JoJo Romero (abdomen) were traded by the Cardinals to the Brewers on Monday in exchange for prospects Alexander Frias and Josiah Ragsdale. May posted a 5-7 record across 21 starts with St. Louis while sporting a 4.38 ERA, 1.28 WHIP and 106:35 K:BB over 109 innings.