Marchand and Bjork each sustained an undisclosed injury in a 4-1 loss against the Toronto Maple Leafs on Saturday. Neither player is on the Bruins' four-game road trip.
Marchand is Boston's second leading scorer with 15 points (eight goals, seven assists) in 14 games. Bjork has nine points (three goals, six assists) in 16 games.
The Bruins look to avoid their fourth straight loss; the three consecutive defeats mark their longest losing streak this season.
Ducks defenseman Hampus Lindholm will be a game-time decision with an undisclosed injury.
Anaheim, which has won seven straight games against Boston, is 1-3-2 in its past six games after going 4-1-0 in its previous five games.