Paul was injured Saturday night in Game 7 against the San Antonio Spurs but returned to hit the game-winning shot.
Coach Doc Rivers says the All-Star point guard could have played if it were an elimination game, but that it wasn't worth the risk for Game 1.
He says he expects him to be able to play in this series, but isn't sure if he'll be ready for Game 2 on Wednesday night.
Rivers wouldn't say who will start in Paul's place. His son Austin Rivers is the team's backup point guard.