The France international, who has been sidelined with a muscular problem this year, returned to training on Thursday ahead of the game at the Allianz Arena, which could see Pep Guardiola's men extend their 13-point lead at the top of the table.
Ribery - who on Thursday was acquitted on charges of soliciting an underage prostitute, along with Real Madrid striker Karim Benzema - has not made a competitive appearance in 2014.
"I hope that I can play on Sunday against Frankfurt," the 30-year-old told Bild. "I have been absent [for so long] because we did not want to take any risks."
Ribery last played a Bundesliga match on December 14, but he did help the European champions to victory in the Club World Cup at the tail end of 2013.