Billingsley, who missed his last start and was placed on the disabled list with right elbow soreness, is expected to come off the DL to start on Monday night in St. Louis.
"I'm pretty confident he'll make his start Monday in St. Louis," said manager Don Mattingly.
Lilly, out since May 24 with left shoulder inflammation, said he was able to throw "close to 100 percent" and expected to feel strong on Saturday. Lilly said he's likely to throw one more bullpen session, then face hitters, then go out on a Minor League rehab assignment.
"I feel pretty confident I can start being aggressive with the throwing program," said Lilly. "This was the most intensity I've had."