The team said Monday that Sabourin will continue to be monitored by the team's medical staff in Ottawa.
Sabourin was taken from the ice with his head immobilized following a collision with David Backes in which the players' helmets hit at nearly full speed early in the first period of Boston's 5-2 win on Saturday night.
Sabourin gave the crowd a thumbs up as he was taken from the arena.
Sabourin, 27, posted a photo to his Instagram on Sunday morning of him in a hospital bed while smiling with a chipped tooth, a black eye and a few cuts around his face.
"Thanks for all the well wishes. Hope to be back out on the ice in the near future," Sabourin wrote with the post.
After colliding with Backes, Sabourin fell to the ice and appeared to be unconscious. There was a large blood spot on the ice under his face.
Backes went to the dressing room after Sabourin was taken from the ice, and didn't return. The Bruins announced that Backes had an upper-body injury. He was visibly upset, fighting back tears, as medical personnel attended to Sabourin.
Sabourin has played in 11 NHL games, all this season, with one goal and one assist.
The Associated Press contributed to this report.