Rinne will be re-evaluated after the All-Star break, which ends Jan. 26.
Rinne leads the NHL with 29 wins and was named to the 2015 Honda NHL All-Star Game after missing 51 games last season with a hip infection.
"It doesn't change anything as far as we go," Predators coach Peter Laviolette said. "I mean it's tough to lose players. We've been on a little streak here where we've lost some players with [Eric] Nystrom being out, [Ryan] Ellis being out, [Taylor] Beck and [Matt] Cullen were out for a little bit. Nothing really changes as far as the game plan goes."