The Sabres lost their 10th consecutive road contest, with Jhonas Enroth giving up all six goals on 35 shots.
Jason Pominville delivered both Buffalo goals.
Corey Crawford made 27 saves for the Blackhawks, who jumped over both St. Louis and Detroit to take the lead by a point in the Central Division.
Susan Sarandon 'very excited' about daughter's pregnancy
Interpol investigating stolen passports on missing flight