The Daily Star says the German giants are long-time admirers of the Tottenham boss.
Niko Kovac is currently in charge of Bayern, who yesterday retained the German title with a 5-1 thrashing of Eintracht Frankfurt in the final game of the campaign.
However, that triumph alone is not enough to persuade the club's hierarchy to keep the Croatian coach.
His failure to take Bayern beyond the last 16 of the Champions League appears to have cost him his job after only one season.
Now, with Spurs 90 minutes from being crowned European champions for the first time in their history, Bayern are watching events closely.