DeSmith stopped all 10 shots he faced in relief of Jake Oettinger in Saturday's 4-1 loss to the Jets.
DeSmith will defend the visiting crease versus Florida in Finland on Saturday, Tom Gulitti of NHL.com reports.
DeSmith made 25 saves in Thursday's 5-2 win over the Bruins.
DeSmtih will get the starting nod on the road against Boston on Thursday, Mike Heika of the Stars' official site reports.
DeSmith was the first goaltender off the ice at morning skate, per Stephen Whyno of the Associated Press, and is expected to patrol the visiting crease in Washington on Thursday.
DeSmith will guard the home net Sunday against the Kraken, Lia Assimakopoulos of The Dallas Morning News reports.
DeSmith will guard the road goal Sunday in preseason action versus Minnesota, according to the NHL media site.
DeSmith is set to start for Saturday's preseason home game against St. Louis.
DeSmith signed a three-year, $3 million contract with the Stars on Monday, Stars radio analyst Bruce LeVine reports.
DeSmith (lower body) will return to the lineup in Tuesday's Game 5 home matchup versus Nashville, Brendan Batchelor of Sportsnet 650 reports.