The club says Robben has a "clamped nerve" and Ribery has an ankle injury. Both players were substituted during Bayern's 7-0 Champions League rout of 10-man Shakhtar Donetsk on Wednesday.
Xabi Alonso will also miss the trip to Bremen due to an accumulation of yellow cards.
Midfielder Thiago Alcantara trained with the team Thursday for the first time since October as the Spaniard works on his return from a knee injury.
Bayern captain Philipp Lahm also trained again as he recovers from his ankle injury.