"The problem now is the swelling is too big and I cannot [grip the bat]," Soriano said.
Soriano had some discomfort on Thursday when he hurt his hand, but not enough to force him out of the game.
"I think it'll probably be a few days," Cubs manager Lou Piniella said. "I don't think it'll go down in one day."
Lilly was scheduled to start Saturday in the third game of this four-game series, but now he tentatively will open the Cubs' three-game set at Philadelphia on Monday. Randy Wells will replace Lilly on Saturday, and Kevin Hart, who was optioned to the Minor Leagues after his start July 8 to keep him on schedule, will be recalled for Sunday's game.
Lilly, who was the Cubs' only representative in the All-Star Game, did not pitch in St. Louis on Tuesday, but Piniella said the lefty's knee had nothing to do with that.
"When he came back here [Thursday], his knee was bothering him, and the last couple starts he's had, it's bothered him somewhat," Piniella said. "We'll see."
The Cubs went two months without third baseman Aramis Ramirez (shoulder) and survived. Catcher Geovany Soto (strained oblique) and pitcher Ryan Dempster (broken big toe) are on the disabled list now, along with infielder Aaron Miles (elbow) and pitcher David Patton (groin).
"It's been a problem," Piniella said of the long injury list. "Maybe signing this [B.J. Ryan] might be a good timing thing for us. We'll see."
Ryan, released by the Blue Jays earlier this month, signed a Minor League contract with the Cubs on Thursday and was to report to their Spring Training facility in Mesa, Ariz., on Sunday. However, he's not expected to be ready soon.
Soriano had his right hand wrapped in ice.
"I'm going to put a lot of ice on it -- this is my third time already," he said before Friday's game. "I hope [Saturday] I can swing the bat.
"I'm not worried about the pain," Soriano said. "It's the swelling -- it's not comfortable to swing a bat."
The outfielder was never on the disabled list as a player until he signed with the Cubs.
"If I don't make it to the DL this year, I'll be very happy," he said.