The Rays placed Kimbrel on the 15-day injured list Sunday, retroactive to May 28, due to a right wrist strain.
It's unclear when exactly he sustained the injury, but Kimbrel last took the mound Tuesday in Baltimore, firing a scoreless inning. The veteran right-hander will be eligible to be reinstated from the IL on June 12, though without details on the nature of the injury, a timeline for his return is unknown.