But Torre did say that he wouldn't know until probably Monday whether Billingsley would be available to make his scheduled start Wednesday in San Francisco.
"I'm always a little concerned about injuries, hamstrings," Torre said. "He said there's still some tightness in there, but they had put some medicine in there, so that could be causing that."
And if there's any risk of further injury, Torre said that Billingsley would sit out Wednesday's game.
"We're not going to send him out there if there's a danger," Torre said. "The most important thing is for the rest of the season, not for this next start."
The one bright spot for the Dodgers is they have an off-day on Thursday before beginning a three-game series at Arizona.
"With the off-day on Thursday, you get a little bit of a break because you don't need the fifth starter," Torre said.
For now, the fifth starter is Eric Stults, who was recalled Sunday to face the Braves in the finale of a four-game set. Tony Abreu was optioned back to Triple-A Albuquerque.
The fact that Stults threw three innings on Thursday in the Minors didn't concern Torre.
"We cut him back just in the event that we needed somebody," Torre said. "So he should be fine. He really didn't use up a lot a couple of days ago."
Stults entered Sunday with a 4-2 record and a 4.80 ERA in nine starts this season with the Dodgers.
David Ely is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.