Alexy was recalled from Triple-A Round Rock on Monday.
Alexy served as the 29th man during a doubleheader against the Marlins on Sept. 12, and he allowed four runs on a hit and three walks while striking out one in one-third of an inning during an appearance in the twin bill. He was sent to the minors afterward, but he'll be available for the major-league club over the final few days of the regular season.