"We'll see what that does for him," manager Don Mattingly said before Wednesday's game against the D-backs.
While Lilly is able to throw again, right-hander Stephen Fife has yet to resume throwing due to right shoulder bursitis that has kept him on the disabled list since April 26.
Zack Greinke is also on the disabled list and is nearing a rehab assignment. But the Dodgers have yet to place a timetable on when Greinke will make a start in the Minor Leagues. He threw a bullpen session Tuesday, but his broken left collarbone is still healing.
"It's still going in the right direction," Mattingly said. "We haven't had any setbacks with him. It's really more holding him back a little bit."
Mark Ellis is the closest of the nine Dodgers players on the disabled list to beginning a rehab assignment. Mattingly said the second baseman would begin his rehab assignment "pretty soon." The veteran is nursing a strained right quad that has sidelined him since April 26.
Austin Laymance is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.