However, manager Don Mattingly isn't optimistic Billingsley will be back this season and said his chances of a return could be pretty slim.
"The longer it goes, the less likely, obviously, it is that we're going to see him pitch," Mattingly said.
However, the skipper was more optimistic about Ted Lilly. The veteran lefty has been out since May 24 with left shoulder inflammation and his rehab was stalled when he started to feel lower back pain.
He will throw a simulated game on Wednesday with about an inning worth of pitches.
"I wouldn't mind having a lefty that could throw an inning out of the 'pen out there," said Mattingly, who also got promising news that Randy Choate won't miss any time after coming out of Monday's game when he was hit on his left hand by a comebacker.