Manchester United have made a stuttering start in the Premier League this season and are five points behind league leaders Chelsea. Ribery could make the difference between claiming a fourth successive crown and seeing the title go south to London.
City, meanwhile, will be looking to bolster their ranks in order to achieve their ambition of securing a position in the Champions League places.
The News of the World recently ran a story indicating that the Citizens had already held "secret" talks with the Bundesliga outfit.
According to recent reports, Bayern have already rejected a £40 million bid for Ribery, and are allegedly holding out for more.
Should the player swap Germany for England, he could become the best-paid footballer in the Premier League, on a weekly wage of around £200,000.
Alan Dawson, Goal.com UK