Muncy (elbow) will begin a rehab assignment at Triple-A Oklahoma City on Thursday, David Vassegh of AM 570 LA Sports reports.
Muncy took part in batting practice Wednesday, and he'll be cleared to return to game action at the minor-league level over the weekend. It's not yet clear how many rehab games he'll require, but he'll likely be in the mix to rejoin the Dodgers next week.