Bjorkstrand avoided a check along the right boards by Dmitry Kulikov and skated toward the goal before putting a shot underneath the crossbar for the 4-3 lead.
"That's not slipping a check, that's breaking through, and that's the biggest thing he's improved at, is playing along the wall," Blue Jackets coach John Tortorella said. "He's always been good at making himself small to get through, but the biggest improvement in his game toward the end of last year all through this is his strength with the puck."
Brossoit was upset at himself on the winning goal.
"That one is frustrating, obviously a sharp angle like that," he said. "I'd like to have that one [back]."
Bjorkstrand has four goals in the past two games after missing 13 with oblique and rib injuries. He also scored twice and had the game-winning goal in a 2-1 victory at the New York Rangers on Sunday.
"The team's been going well," Bjorkstrand said. "It's a lot easier coming into a lineup where guys are just going."