The Senegal star, 30, is currently preparing for the Champions League final against Real Madrid on Saturday.
But ahead of the upcoming showpiece, speculation continues to mount that Mane could be departing Anfield for the Bundesliga.
And now Sky Deutschland's Florian Plettenberg claims that progress has been made in negotiations between the forward and Bayern Munich over a potential deal.
They are both keen to get Mane - whose contract expires at Liverpool next summer.
Plettenberg claims that the next month is now set to be a crucial period for Bayern and their attempt to land the former Southampton man.
He tweeted: “He can really imagine to join #FCBayern this summer! There is movement in talks with the player and his management.
“Next 3-4 weeks are decisive. Nagelsmann & Brazzo want him. Transfer fee probably less than €50m."
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