Crawford worked on drills for more than 40 minutes with goaltending coach Jimmy Waite.
"It was good," coach Joel Quenneville said. "He felt fine after [Saturday], which was the most important thing, and then today was the same as [Saturday]. We feel he's turned a big corner here and we're heading in the right direction.
"Right now, we're looking at probably one [start]. That's better than none."
The game against the Bruins will be the eighth Crawford has missed since the injury was announced by the Blackhawks on March 17. Scott Darling, who starts Sunday, is 4-3-1 with a 2.64 goals-against average and .912 save percentage in Crawford's absence.
Crawford is 35-18-4 with a 2.32 GAA and .926 SV% this season.
Quenneville said he doesn't think the game against the Arizona Coyotes at United Center on Tuesday is a possibility for Crawford to play. The Blackhawks have two games after that -- against the St. Louis Blues on Thursday and at the Columbus Blue Jackets on April 9.
Forward Andrew Shaw is also out against the Bruins.
Shaw sustained an upper-body injury in the 5-4 overtime win at the Winnipeg Jets on Friday. Quenneville ruled Shaw out for the game against Arizona on Tuesday too, but hopes to get him back in one or both of Chicago's final two regular-season games.
Boston is without defenseman Kevan Miller on Sunday. Miller sustained a lower-body injury in the 6-5 win at St. Louis on Friday.
"He's not playing [Sunday]," coach Claude Julien said. "He's going to come back home after getting evaluated by a doctor, but I don't suspect that it's anything major. I'm not able to [say] more until I get the right diagnosis on his injury."
Defenseman Zach Trotman is expected to enter the lineup in place of Miller. Julien said injured defenseman Dennis Seidenberg (lower body) has started skating back in Boston this weekend.
