General manager Peter Chiarelli made the announcement Thursday.
Campbell was hurt during the second period of the Bruins 2-1, double-overtime victory Wednesday night that gave them a 3-0 lead over Pittsburgh in the Eastern Conference finals. Game 4 is Friday night.
During a Penguins power play, Campbell fell in the right faceoff circle with about eight minutes left. He got up and dove in the high slot to try and block Evgeni Malkin's shot. He kept playing for about a minute before reaching his bench. He didn't return.
In 15 playoff games this year, Campbell has three goals and four assists as part of a strong fourth line.