The forward remains at 698 goals after not scoring in five straight games, his longest drought since he went six games without a goal from Dec. 19-31, 2018.
Ovechkin has scored 32 goals in 49 games against the Canadiens, including one in Montreal on Nov. 15, and seems to enjoy playing against them.
"I always have fun to play hockey, you know," Ovechkin said Wednesday.
It hasn't been as fun for the Capitals lately. They've lost four of their past five games and have fallen one point behind the Pittsburgh Penguins for first place in the Metropolitan Division.
Ovechkin dismissed the suggestion that his pursuit of the milestone might be becoming a distraction.
"I don't think somebody thinks about it," he said. "If it happens, it happens. It's just a matter of time, tomorrow, after tomorrow, whatever. We're focusing right now to get our game better, to secure a playoff spot, and then we'll move on."
Ovechkin, who has scored 698 goals in 1,142 regular-season games over 15 seasons, is seeking to become the eighth player in NHL history to score 700, joining Wayne Gretzky (894 goals), Gordie Howe (801), Jaromir Jagr (766), Brett Hull (741), Marcel Dionne (731), Phil Esposito (717) and Mike Gartner (708). Ovechkin had 19 shots on goal and 40 shot attempts during Washington's three-game road trip that ended Monday.