The Reds haven't designated a closer while Chapman recovers from a head injury. He had a plate inserted in his forehead after he was hit by a line drive during a spring training game. He's expected back in May.
Broxton is still recovering from surgery on his pitching forearm last year.
Starter Mat Latos is scheduled to pitch in a minor league game Thursday and another one next week. He could be activated after those two games. Latos had surgery Feb. 14 to repair torn cartilage in his left knee.