Rask will draw the start against the Flames on Wednesday morning for the finale of the NHL China Games, Dan Rosen of NHL.com reports.
Rask (ankle) should be ready to go for training camp, according to masslive.com.
Rask stopped 27 of 30 shots in Monday's 4-2 loss to the Lightning in Game 2.
Rask (lower body) "doesn't look like he'll be able to go" for Tuesday's game against Detroit, according to head coach Bruce Cassidy.
Rask is suffering from a "very minor" injury ahead of Saturday's game against the Canadiens, Joe Haggerty of NBC Sports Boston reports.
Rask made 22 saves in Thursday's 8-4 win over the Penguins.
Rask will guard the cage in Thursday's home game against the Penguins, NESN's Jack Edwards reports.
Rask will be the home starter in Tuesday's game against the Hurricanes, Joe Haggerty of NBC Sports Boston reports.
Rask will tend twine Saturday evening against host Toronto, Joe Haggerty of NBC Sports Boston reports.
Rask saved 28 of 29 shots during Monday's 2-1 overtime win against Calgary.