The Cardinals recalled McGreevy from Triple-A Memphis on Wednesday.
St. Louis' initial plan appears to be using McGreevy in relief, though he could be a candidate to make a start or two before the season comes to a close. He went seven frames of one-run ball in a spot start earlier this season in his major-league debut and collected a 4.02 ERA and 138:44 K:BB across 150 innings covering 27 outings at Memphis.