The Frenchman, who was replaced by Kingsley Coman in the 62nd minute at the Olympiastadion after twisting his knee and going down in obvious discomfort, underwent tests in Munich on Monday.
Ribery will have a splint placed into his knee as part of a conservative rehabilitation process, in which he will not undergo surgery.
Ribery was immediately carried off the field and out of the stadium, not to the dressing rooms as is usual procedure.
It was a particularly bitter end to proceedings for the 34-year-old, who had become Bayern’s joint record non-German appearance maker with his start against Hertha, drawing level with current sporting director Hasan Salihamidzic on 234 appearances.
Watch: Ribery recently celebrated his 10-year anniversary at Bayern!