Greene (hamstring) is scheduled to begin running the bases Sunday, Evan Woodbery of MLive.com reports.
Greene resumed taking batting practice last week, and Sunday will mark his first time running the bases since he landed on the IL with a strained right hamstring. The Tigers have yet to announce any plans for sending the outfielder on a rehab assignment, though that could change if he's able to get through Sunday's base-running session without any problems.