The 33-year-old was injured in a 1-0 overtime loss at the Dallas Stars on Nov. 16. He was checked along the boards by Stars forward Radek Faksa in the second period and left the game but returned.
Bergeron is tied for seventh in the NHL with 26 points (nine goals, 17 assists). He's two goals from 300 in his NHL career and 18 games from 1,000. He is a four-time Selke Award winner voted as the best defensive forward in the NHL.
"You can't replace a guy like that," Bruins coach Bruce Cassidy said. "We're putting him on the power play because he can take face-offs, he's a right stick, 5-on-5 shutdown. Probably just the 5-on-5 play, how much he is able to kill plays and allow [forwards Brad Marchand and David Pastrnak] to play their game, get going on the attack. That's probably the biggest area we'll miss him."