Cleavinger (calf) is scheduled to face hitters in live batting practice Thursday, per MLB.com.
The left-hander is working his way back from right calf tightness, and the expectation is that he'll be able to rejoin Tampa Bay's bullpen at some point in mid-to-late April. Cleavinger has given up two runs on three hits and four walks over 2.1 innings to begin the year, so it's possible the Rays will ease him back into the high-leverage mix once he's cleared to return.