The Tigers placed Smith on the 15-day injured list Friday with right shoulder inflammation.
Smith gave up one run in two-thirds of an inning during his appearance Thursday and came away from his outing with soreness in his shoulder. He received a cortisone injection Friday to help treat the issue, but he won't be able to avoid spending a couple of weeks on the injured list. Brenan Hanifee was recalled from Triple-A Toledo to fill the open spot in Detroit's bullpen.