Griffin suffered the injury in the first quarter of the Clippers' Christmas night victory over the Los Angeles Lakers, according to the team.
Despite the injury, Griffin finished the game, tallying 13 points, 12 rebounds and seven assists in 36 minutes. An MRI taken Saturday revealed the extent of the injury and he will be re-evaluated in two weeks, the Clippers said in a statement.
The team hopes to have Griffin back in two or three weeks, a source told ESPN.com's Ramona Shelburne.
Griffin is averaging a team-high 23.2 points this season to go with 8.7 rebounds per game and 5.0 assists per game.
Josh Smithwas inserted into the starting lineup in Griffin's place against the Utah Jazz on Saturday night as part of a five-game road trip. Smith went 0-for-2 in five minutes of play.
Davis: Losing Griffin will hurt Clippers
ESPN's Antonio Davis breaks down how the loss of Blake Griffin will impact the Clippers moving forward, and which players will have to step up in his absence.