The veteran goaltender started Saturday's afternoon tilt against the Ottawa Senators and allowed three goals on 14 shots in the 4-0 loss.
Price missed the previous six games with a lower-body injury.
The 33-year-old has struggled this season, authoring a .903 save percentage in 23 games prior to Saturday. He's also posted a minus-4.32 goals saved above average and a minus-7.32 goals saved above expected in 2021, according to Evolving Hockey.
Jake Allen went 2-4-0 with a .900 save percentage in Price's absence. The backup has been the better Canadiens netminder this season, albeit in fewer appearances.
Price has spent his entire 14-year career with Montreal. He won the Hart and Vezina trophies in 2014-15.