Rose, who played 39 minutes, suffered the injury on an attempted jump shot during the final play of regulation.
Starting for injured guard Jeff Teague, Rose finished with 25 points, 9 assists and 3 rebounds.
Both Rose and Teague have been listed as doubtful for Sunday's game against the Miami Heat.
Rose has been an integral part of the Timberwolves' offense this year. He is averaging 18.9 points, 2.8 rebounds and 4.8 assists per game.
In past seasons, Rose has struggled to stay healthy, undergoing three knee surgeries during his career. Last season, as a member of the Cleveland Cavaliers, he spent time away from the team to re-evaluate whether he wanted to continue playing in the NBA after a sprained left ankle caused him to miss seven games.
Rose also missed one game earlier this season due to left ankle soreness.