Coach Michel Therrien says Price aggravated the injury while representing Canada at the Sochi Olympics. Price left practice on Wednesday.
Therrien said Price will miss two games, including Wednesday night's game against the Detroit Red Wings. Peter Budaj will start in goal, and Dustin Tokarski has been called up from the AHL's Hamilton Bulldogs to serve as backup.
Price had his first practice since helping Canada win a gold medal in Sochi. He played in all but one of Canada's games, including a 3-0 win over Sweden for the gold.
He has a 26-17-5 record, .925 save percentage and 2.33 goals-against average this season.