As Vicente Padilla came off the disabled list Saturday, Carlos Monasterios went on, joining Chad Billingsley and deposed fifth starter Charlie Haeger.
"We're a little depleted," Torre said.
He said he will need to find someone to join Padilla, Clayton Kershaw, Hiroki Kuroda and rookie John Ely by Saturday at the latest. He said he might go with a tag-team of relievers. He didn't rule out calling up Claudio Vargas, who has made one three-inning start for Triple-A Albuquerque after being released by Milwaukee and signed by the Dodgers last week.
Vargas could be called up to pitch Wednesday, providing an extra day of rest for Ely, Padilla and Kuroda.
Billingsley isn't scheduled to come off the disabled list until next Sunday, and that is probably ambitious. He has been able to play catch since suffering a strained groin muscle, but won't test it off a mound until Tuesday or Wednesday.
"Even at that point, I hold my breath," said Torre. "In my experience, the groin is the toughest one to be comfortable with. They say they're fine, but when the game counts, there's a little bit more emotion involved.
"By Tuesday or Wednesday, we have to come up with a plan so we're covered for Saturday."
Torre said the decision also will be influenced by how Padilla comes out of his Saturday start.