He left after the first period and Canadiens coach Michel Therrien said after the game Carr would not be available Tuesday.
Neither team held a morning skate Tuesday.
Montreal, which won 3-2 in a shootout at the Toronto Maple Leafs on Saturday, has not won consecutive games since a four-game winning streak from Nov. 22-27, and has not won in regulation in seven games (1-5-1) since a 2-1 win against the New Jersey Devils on Jan. 6.
"We've got to play better (Tuesday)," captain Max Pacioretty said Monday. "We really need to play for 60 minutes and get the 'W' before we go into the (All-Star) break. Everyone's frustrated with the way tonight's game went."
Montreal goalie Ben Scrivens will likely get his first start at home after Mike Condon made his third consecutive start Monday.
Blue Jackets associate coach Craig Hartsburg will be in charge behind the bench for a third straight game. Hartsburg is 1-0-1 while assuming coaching duties since coach John Tortorella was injured during an outdoor practice Friday.
Tortorella sustained two broken ribs after forward Rene Bourque hit a rut and collided with him during a drill.
Here are the projected lineups:
BLUE JACKETS
Boone Jenner - Brandon Dubinsky - Cam Atkinson
Scott Hartnell - Alex Wennberg - Brandon Saad
Kerby Rychel - William Karlsson - Nick Foligno
Matt Calvert - Gregory Campbell - Rene Bourque
Ryan Murray - Seth Jones
Jack Johnson - Justin Falk
Fedor Tyutin - Dalton Prout
Anton Forsberg
Joonas Korpisalo
Injured: Sergei Bobrovsky (groin), Curtis McElhinney (ankle), David Clarkson (upper body), David Savard (oblique)
Scratched: Jared Boll, Cody Goloubef
CANADIENS
Max Pacioretty - Tomas Plekanec - Brendan Gallagher
Alex Galchenyuk - David Desharnais - Dale Weise
Tomas Fleischmann - Lars Eller - Jacob de la Rose
Brian Flynn - Torrey Mitchell - Devante Smith-Pelly
P.K. Subban - Andrei Markov
Alexei Emelin - Jeff Petry
Nathan Beaulieu - Mark Barberio
Ben Scrivens
Mike Condon
Injured: Daniel Carr (lower body), Carey Price (lower body), Paul Byron (lower body)
Scratched: Greg Pateryn, Tom Gilbert
Status report: Subban had a goal and an assist Monday after missing the morning skate because of illness. He extended his consecutive games played streak to 255.
Who's hot: Atkinson scored his third NHL hat trick Monday. Dubinsky and Jenner assisted on each of Atkinson's three goals. Saad scored twice, including his fourth game-winning goal. Subban has 11 points (three goals, eight assists) in his past 12 games.