Regular starter Carey Price has not played an NHL game since leading Team Canada to a gold medal. Peter Budaj has served as Montreal's starter since the end of the Olympic break, with Dustin Tokarski as the backup.
Montreal gave up future considerations to get Dubnyk, who was traded earlier this season from the Edmonton Oilers to Nashville and cleared waivers earlier this week.
Dubnyk, a native of Regina, Sask., is 11-18-3 with a 3.43 goals-against average and .891 save percentage this season.
Reports indicated that the Predators retained a portion of Dubnyk's salary in the trade.
The 27-year-old netminder will be an unrestricted free agent this summer.