The Rays transferred Heasley (elbow) from the 15-day injured list to the 60-day IL on Monday.
Initially deactivated last Tuesday after being diagnosed with a right elbow stress reaction, Heasley still remains without a clear timeline for a return, but his move to the 60-day IL ensures he'll be shelved through at least July 27. In a corresponding 40-man roster move, the Rays selected outfielder Austin Slater's contract from Triple-A Durham.