"I jammed my thumb," Deng said after the game. "Just got to ice it, treat it."
Deng, who scored a game-high 27 points, appeared to get hit by Oklahoma City forward Serge Ibaka. He was icing the thumb after the game.
Deng tore a ligament in his left wrist last season but decided to put off surgery. He has noted several times over the past few months that he may not have to have surgery on the wrist at all, depending on how it responds to treatment.
The Bulls will not practice Friday. They face the Minnesota Timberwolves on Saturday night.