The Predators announced the injury Thursday and plan an update after the All-Star break.
Rinne was hurt at 2:55 of the third period Tuesday night when Vancouver forward Chris Higgins became entangled with Nashville defenseman Anton Volchenkov. They then collided with Rinne with their momentum carrying the Finn into the end boards where his skates appeared to make first contact.
The goalie leads the NHL with 29 wins and ranks second in the league with a 1.96 goals against average and a .931 save percentage. Rinne was just selected to his first All-Star appearance.
The Predators have three games left before the All-Star break.