Ribery ruled out of Arsenal game
The France international suffered a ligament strain in his left ankle during his side's 3-2 win over Fortuna Dusseldorf on Saturday.
Midfielder Bastian Schweinsteiger and defender Jerome Boateng, who are banned, will also miss the match at the Allianz Arena.
Bayern are also sweating on the fitness of Arjen Robben, who was not involved at the weekend because of a calf problem.
The German giants have plenty of strength in depth, though, with the likes of Luiz Gustavo and Xherdan Shaqiri ready to come in.
Bayern hold a 3-1 lead from the away leg to put themselves in pole position for a place in the quarter-finals.