The Rays placed Poche on the 15-day injured list Saturday with left shoulder inflammation.
Poche has allowed five earned runs over 6.1 innings since the start of August, and he hasn't pitched in a game since Tuesday. He'll now be shelved until at least mid-September, and the Rays will promote Hunter Bigge and Cole Sulser from Triple-A Durham to help make up for the loss to their bullpen.