Greene (elbow) is slated to begin a rehab assignment Thursday in the rookie-level Arizona Complex League, Charlie Goldsmith of Fox 19 Now Cincinnati reports.
On the shelf all season while recovering from March 11 surgery to remove bone chips from his right elbow, Greene has now been cleared for a rehab stint after completing a series of bullpen sessions and live throwing sessions over the past few weeks. Due to the length of his absence, Greene could need most of his 30-day rehab window to get fully stretched out, though manager Terry Francona said earlier this month that the right-hander is expected to return from the 60-day injured list at some point prior to the All-Star break.