Swayman will start Saturday's game in San Jose, Kevin Paul Dumont of The Boston Globe reports.
Linus Ullmark will be between the pipes for Thurday's game in Seattle. Swayman has been brick-wall-like recently, turning in a sparkling .968 save percentage and stingy 0.97 GAA over a 3-0-1 stretch. The Sharks, meanwhile, currently sit 25th with an average of 2.66 goals for this season.