The Oilers won two home meetings against the Canadiens last season, and posted a 5-4 triumph in overtime in Edmonton on January 4.
The Canadiens are 1-2-1 in their last four home games against the Oilers.
Edmonton has lost three of its last four contests, including a 2-0 defeat at Ottawa on Thursday.
The Oilers, who went 0-for-5 on the power play, had 24 shots saved by Patrick Lalime as they lost at Ottawa for the first time since 1992.
Edmonton is 1-1 on its five-game road trip.
The Canadiens are 2-0-0-1 since losing four straight in regulation. On Thursday, Montreal fell to 1-0-0-1 on its four-game homestand with a 2-1 overtime loss to Columbus.
The Canadiens are 5-4-2-2 since coach Michel Therrien was fired and replaced by Claude Julien.