The Flames have won five in a row and earned at least a point in 10 straight games (7-0-3).
Kane, 20, sprained his ankle Tuesday at Detroit and aggravated the injury during Thursday's Winter Classic against the Red Wings. It will be the first time that the baby-faced sniper misses a game due to injury since being taken first overall by the Blackhawks in the 2007 NHL Entry Draft.
The reigning Calder Trophy recipient as the league's top rookie has eluded the dreaded sophomore slump, registering 16 goals and a team-best 25 assists in 35 games this season for the Blackhawks, who set a franchise-record nine-game winning streak before dropping both contests to Detroit.
Kane was among three Blackhawks elected Western Conference starters for the 57th NHL All-Star Game on January 25 in Montreal, joining center Jonathan Toews and defenseman Brian Campbell.