"They're not sure, but they're talking about Lilly maybe throwing at the end of the week," Dodgers manager Don Mattingly said Tuesday. "That's a little positive. He's feeling better."
Lilly hasn't felt well enough to throw since being placed on the disabled list May 24 with left shoulder inflammation.
In response, the Dodgers have been looking to trade for a starter, with Cubs right-hander Ryan Dempster most frequently mentioned until he went on the DL on Monday with a strained lat muscle.
Mattingly said he was hoping to get Matt Kemp (hamstring), Mark Ellis (leg surgery) and Javy Guerra (knee surgery) back "quickly after the All-Star break."