Bickell scored twice in a four-goal first period for the red-hot Blackhawks, who padded their record to 20-0-3.
Marian Hossa and Patrick Kane also scored and Brandon Saad notched a goal and two assists in the win. Corey Crawford turned in another solid performance in goal, making 20 saves and improving to 11-0-3.
Niklas Backstrom gave up four goals in the first period and was replaced by Darcy Kuemper, who held the Hawks at bay until Kane's goal at 11:53 of the third period.
Notable deaths of 2014 [PHOTOS]
Michael Sam cut from the Dallas Cowboys