Swayman made 28 saves Wednesday in Game 3's 4-2 win over the Maple Leafs.
Swayman was the first goalie off the ice Wednesday, Renaud Lavoie of TVA Sports reports, indicating he'll tend the twine on the road for Game 3 against the Maple Leafs.
Swayman will protect the home net in Game 1 against Toronto on Saturday, according to Fluto Shinzawa of The Athletic.
Swayman stopped 23 of 24 shots in Monday's 2-0 loss to Washington.
Swayman will tend the twine on the road against Washington on Monday, Stephen Whyno of the Associated Press reports.
Swayman stopped 22 shots in Tuesday's 4-1 loss to the Hurricanes.
Swayman will guard the cage at home versus Carolina on Tuesday.
Swayman made 28 saves in Thursday's 4-1 win over the Hurricanes.
Swayman is set to start on the road against Carolina on Thursday.
Swayman is expected to protect the visiting net in Washington on Saturday, per Tom Gulitti of NHL.com.