Kelley was recalled from Triple-A Nashville on Monday.
Kelley has been dominant in Nashville this season, as he's posted a 0.69 ERA and 1.08 WHIP in 13 innings over 13 relief appearances. He tossed a scoreless inning out of the bullpen for Milwaukee last week and will rejoin the big-league club after Josh Hader was placed on the family medical emergency list Monday.