Canadiens coach Michel Therrien told reporters that Price suffered the injury in Montreal’s 4-3 loss in Edmonton on Thursday.
Rookie Mike Condon will make a second consecutive start in the Canadiens’ home game tonight against Winnipeg.
The Habs have three more home games coming up. Ottawa is at Montreal Tuesday, followed by the New York Rangers on Thursday and archrival Boston on Saturday.
Price is 7-2 with a 2.01 goals-against average this season for Montreal.
The 25-year-old Condon is 3-0 with a 1.67 goals against average and a .944 save percentage. He backstopped Montreal to a 6-2 win in Calgary on Friday night.
"(Condon) has a lot of pressure on him, but he's been flawless in every start so far," Therrien said.
Dustin Tokarski was recalled from St. John's of the American Hockey League to act as Condon's backup.