Suzuki did give the Canadiens a 3-2 lead on the power play at 10:17, scoring from the same face-off circle.
Laurent Dauphin appeared to give Montreal a two-goal lead at 7:03, but the Oilers again challenged successfully for offside when it was determined the puck left the zone before it was played back to Dauphin in the zone.
"We lost the special-teams battle, our penalty kill was not good enough (2-for-4) and our power play, although it had a few chances, didn't generate the way we wanted it to (0-for-4)," Edmonton coach Jay Woodcroft said. "In the end, we gave up two goals on the penalty kill. One was a 6-on-5, one kind of on a 4-on-4, just at the end of it. They are all things we'd certainly like to have back, but we can't. We're going to digest it and work on it as we move forward here."
Artturi Lehkonen made it 4-2 with a shorthanded goal at 10:15 of the third period. He took a pass out front from Brett Kulak circling the net.
"I was thinking shoot first, but the [defenseman] did a good job of getting over and getting his stick in the lane and I think he would have broken up the shot," Kulak said. "I just waited it out and the goalie was playing it pretty aggressive. He was giving me plenty of space to come to the short side of the net and get the puck out to the middle. That's the option I went with, and it seemed like I kind of caught him off guard, and 'Lehke' was in the right place at the right time and it worked out well."
Mike Hoffman scored into an empty net at 16:11 for the 5-2 final.
NOTES: Oilers forward Leon Draisaitl had an assist to tie McDavid for the NHL lead with 79 points. … Edmonton forward Kyle Turris played six shifts and had 4:41 of ice time in his first game since Jan. 22. … Oilers defenseman Philip Broberg had four shots in 14:23 after being recalled from Bakersfield of the American Hockey League on Friday. … Caufield has scored 14 points (seven goals, seven assists) in the 11 games since St. Louis replaced Dominique Ducharme.