The Germany legend is a big fan of the Argentine but believes neither Cristiano Ronaldo or Zlatan Ibrahimovic would suit the club's style of football.
Current Bayern boss Pep Guardiola worked with the Argentine during his four years in charge of Barcelona and the Germany legend has moved to lavish praise on the four-time Ballon d'Or winner.
But though he is a big fan of Messi's talents, the 68-year-old dismissed the prospect of two other high profile talents ever slotting into the club's newfound passing philosophy.
"Messi would always be a great fit. He would be good for merchandising worldwide, too," hee told Sport Bild. "(The possibility of Ribery playing with Messi) has a special charm. Ibrahimovic and Guardiola - it is a no-go. And Ronaldo does not fit into the system."
Bayern has made an encouraging start to life under Guardiola, who replaced treble-winning boss Jupp Heynckes at the end of last season.
FCB lead Borussia Dortmund by four points at the top of the Bundesliga, having won 10 of its opening 12 league games, while it also sits top of Champions League Group D.