Milwaukee placed Miley on the 15-day injured list Wednesday with a strained left lat.
Miley suffered the injury in the second inning of his start in Tuesday's win over the Cardinals. The Brewers haven't offered up a timetable for Miley's return, as the veteran left-hander had to be sent back to Milwaukee to undergo further testing. Reliever Jake Cousins was called up from Triple-A Nashville in a corresponding move.