The 24-year-old has been in impressive form for his German club during the 2021-22 campaign, scoring 26 goals and registering 15 assists in 39 appearances in all competitions.
The France international still has more than two years left to run on his current deal, but according to ESPN, Leipzig would be prepared to listen to offers in excess of €75m (£63m).
The report claims that Man United, Liverpool and Real Madrid are all tracking the attacker ahead of possible moves during this summer's transfer window.
Nkunku has been in strong form in the Bundesliga this season, scoring 15 times and registering 11 assists in 27 appearances in all competitions.
The Frenchman also contributed seven goals and two assists in six Champions League appearances, but Leipzig were unable to progress to the knockout round of the competition. body check tags ::