Young, the Lakers' second-leading scorer this season with a 16.9 points per game average coming into Wednesday, suffered the injury with 2:16 remaining in the first half when he was fouled by the Cavaliers' C.J. Miles on a fastbreak lay-up attempt. The Lakers were up 64-44 at the time.
"I planted wrong," said Young after finishing with six points, four rebounds and four assists and not playing in the second half. "We'll see what happens. Hope for the best, really."
Young said he "couldn't move" on his left leg and decided to end his night early. He did not require crutches when he left Quicken Loans Arena after the game, however.
Young was not pleased with how Miles wrapped him up when he fouled him, causing Young to collide with the stanchion under the basket.
"They was down 30, man, they could have let me get that layup," Young said.
If Young is unable to play against the Philadelphia 76ers, the Lakers could struggle to field a full roster once again after finishing the Cleveland game with just four eligible players on the court, plus Robert Sacre who was allowed to stay in as the team's fifth player after fouling out, costing L.A. a technical foul.
Jordan Farmar, who played for the first time since Dec. 31, was held out of the end of Cavs game with a cramp in his left calf which led to tightness in his left hamstring.
He said he expects to play against Philadelphia, when the Lakers will also welcome back Steve Nash, who had the Cleveland game off as it was the second night of a back-to-back and Jordan Hill, who sat out against the Cavs with a strained neck.
"Nash will be back, so hopefully I can play a little less minutes and kind of just ease my way through the game instead of playing so many minutes after being out so long," Farmar said.
Jodie Meeks (right ankle sprain) and Xavier Henry (bone bruise) will both accompany the team to Philadelphia, but will not play. Kobe Bryant (left knee) and Pau Gasol (right groin) stayed back in L.A. for the Lakers' three-game road trip to undergo rehabilitation.