The speedy winger missed the third period of a 4-1 loss to Boston on Tuesday night.
Claimed off waivers from the Calgary Flames, Byron has eight goals and 11 assists in 35 games for Montreal this season. He leads the NHL in short-handed points with five.
The Canadiens had no update on defenceman Nathan Beaulieu, who suffered a lower-body injury in the first period against Boston.
Defenceman Victor Bartley was assigned to the St. John's IceCaps of the American Hockey League. Bartley sat out three games after he was obtained from the Arizona Coyotes last week along with forward John Scott for rearguard Jarred Tinordi.