Patrick Kane had a goal and an assist to extend his point streak to 17 games, Jonathan Toews scored, and Cam Ward made 25 saves for Chicago (24-26-9), which has lost two of its past three games and is three points behind the Minnesota Wild for the second wild card into the Stanley Cup Playoffs from the Western Conference.
Kane, who also extended his assist streak to 16 games, has 37 points (13 goals, 24 assists) during the point streak, which is tied for the longest in the NHL this season with Florida Panthers forward Mike Hoffman, who did it from Oct. 13-Nov. 21.
"I think we have a need to improve," Blackhawks coach Jeremy Colliton said. "Our maximum level is as good as we've been, that second period. The challenge is we need to stretch that out to more of the game. And maybe a few more pucks went in in the other games we won, where tonight Bobrovsky made a lot of really good saves in the second period and even the first."
Dubois gave the Blue Jackets a 1-0 lead at 12:36 of the first period, skating down the left wing before scoring short side from low in the left circle.
Kane tied it 1-1 at 16:14, scoring off a diving Bobrovsky's glove from the right circle on a power play.