That didn't get the Blue Jackets down, though, as they responded with four goals in a span of 9:23 before the frame was done.
Patrik Laine, Jack Roslovic, Eric Robinson and Yegor Chinakhov found the back of the net.
Goaltender Sam Montembeault was replaced by Cayden Primeau after surrendering three goals on seven shots.
The Habs trailed 4-1 after 20 minutes.
Toffoli scored the lone goal in the second period, lighting the lamp with 41 seconds left before the break.
The Canadiens' sniper converted a perfect feed from Lehkonen for his ninth goal of the year.
Suzuki collected the secondary assist on the sequence.