Bickell, who was sidelined for six games with an upper-body injury, beat Bryzgalov on a rebound of his initial point-blank attempt at 2:45 of the third period.
Toews got hurt when he was drilled by Pittsburgh defenseman Brooks Orpik in the second period on Sunday. Kane was injured March 19 against St. Louis and has missed seven straight games.
Quenneville has said both stars will be ready for the playoffs.
NOTES: Blackhawks D Johnny Oduya was a last-minute scratch with a lower-body injury. ... Chicago C Joakim Nordstrom, recalled from Rockford of the AHL on Wednesday, played. ... Minnesota F Jake Dowell and G John Curry, both recalled from Iowa of the AHL on Tuesday, were in the lineup. Curry backed up Bryzgalov.