Montreal will have to overcome its struggles at home against the resurgent New Jersey Devils, though, to accomplish the feat.
Looking for a season high-tying fourth straight win, the Canadiens will try to snap a five-game Bell Centre losing streak versus the Devils on Sunday.
Price picked up his league-leading 26th win by stopping 35 shots as Montreal (30-18-5) defeated the New York Rangers 2-0 on Saturday.
"It felt like a long time but wins are coming so these are secondary," said the All-Star after recording his fifth shutout and first since Nov. 20. "It seemed like today it was almost necessary. Our guys played really well defensively. We knew it could be a 1-0, 2-0 game."
Former Ranger Scott Gomez scored late in the second period and Tomas Plekanec added an empty-netter as Montreal recorded its third consecutive win since the break.
However, the Canadiens could be in for a tough challenge against a Devils team that's last in the Eastern Conference, but has recorded points in 10 of its last 11 games.
"I think the Devils are a team playing strong defensively," said Canadiens coach Jacques Martin. "They've had good success lately, they're one of the hottest teams in the league since (New Jersey coach) Jacques (Lemaire) has taken over. They've had a lot of success."
Montreal has not beaten the Devils at home since Price made 38 saves in a 4-0 win on March 11, 2008.
Price is 1-1-0 with a 2.00 goals-against average versus the Devils this season, and 2-1-1 with a 1.50 GAA in four career home games against Lemaire's team.
The Devils (18-30-4) have won eight of 11, but are coming off a 4-3 overtime loss to Florida on Friday. Johan Hedberg started in place of Montreal native Martin Brodeur and recorded 25 saves.
Brodeur, though, is expected to start in his hometown. The all-time leader in wins and shutouts is 7-1-1 with a 1.99 GAA and one shutout in his last nine games.
Brodeur has won eight of his last 10 visits to Montreal -- including four in a row -- while registering a 1.60 GAA. He stopped 29 shots in the Devils' 3-0 road win over the Canadiens on Oct. 21.
The future Hall of Famer's nine career shutouts against Montreal are tied for second-most against any opponent. Brodeur has blanked the Islanders 10 times.
Patrik Elias, who leads the team with 26 assists and 39 points, was held off the scoresheet Friday. He has four goals and five assists in his nine games versus the Canadiens.
New Jersey is 21-3-0 with one tie all-time against Montreal when Elias records at least one point.
Despite his team's recent success at Montreal, Lemaire -- who replaced the fired John MacLean on Dec. 23 -- knows this matchup won't be easy.
"Everyone has to play their best game when you play against a good team," Lemaire told the Devils' official website.
The Canadiens, who last won four straight from Nov. 9-16, were without defenseman James Wisniewski (illness) on Saturday, and his status for this game is unknown. Wisniewski has two goals and 11 assists in 15 games since being acquired from the Islanders on Dec. 28.
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