Niko Kovac left his role as Bayern boss on Sunday following a 5-1 defeat away to Eintracht Frankfurt and Sky Sports in Germany report that the Bavarian club have contacted Tuchel regarding the vacant post.
“Bayern have approached the Paris-Saint Germain coach regarding his short-term availability and also a summer move,” read the report.
Tuchel, the reports adds, has told the club that he would not consider a mid-season switch but could be available at season’s end.
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The Tuchel news emerged a day after former Bayern Munich star Bastian Schweinsteiger revealed that Jose Mourinho could be eyeing up the role.
Speaking about his time with Mourinho at Manchester United, Schweinsteiger said: "I remember he was always asking me about Bayern and the Bundesliga. During our away games, there was always Bundesliga on TV.
"He has not worked in the Bundesliga, so I can well imagine that he would be tempted by a commitment in Germany. He really knew every player, even from the smaller clubs, he also learnt German at the time."
More to follow