According to Thomas Drance of The Athletic Vancouver, Demko was the first goalie off the ice at morning skate, which suggests he'll get the start in goal in Tuesday's home game versus the Islanders.
Demko will patrol the home crease for Sunday's home clash versus Columbus.
Demko will guard the cage during Friday's home clash with Colorado.
Demko will be between the pipes for Wednesday's home matchup with Arizona.
Demko made 26 saves in a 4-2 Toronto win on Saturday.
Demko will tend the road twine Saturday against the Maple Leafs, Brendan Batchelor of Sportsnet 650 reports.
Demko will guard the cage during Thursday's road game versus the Senators, TSN Radio Vancouver reports.
Demko stopped 37 of 40 shots during Tuesday's 4-3 win over Montreal.
Canucks general manager Jim Benning said that Demko would start in the net Tuesday in Montreal, Elliotte Friedman of Sportsnet reports.
Demko allowed five goals on 28 shots in a 5-1 loss to Anaheim on Sunday.