Tolisso has less than a year remaining on his current deal at the Bundesliga champions and is heavily linked with leaving the club this summer.
The Frenchman only played a bit-part role in the Bavarians squad last term while missing chunks of the season owing to injury.
Tolisso’s situation in Munich has seen him been credited with interest from Italian giants Juventus and Premier League outfit West Ham.
Despite growing transfer chatter surrounding the 26-year-old, new Bayern Munich boss Nagelsmann has remained coy on his future at the club.
The German tactician stressed he has nothing more to add than what is widely known about Tolisso’s contractual situation, which is that he only has less than a year at the Allianz Arena.
Asked about Tolisso’s future, Nagelsmann told German television channel Sport1: “Everyone knows his contractual situation.
“I don’t need to say anything new.”
It remains to be seen whether the Hammers make any concrete moves for Tolisso in the coming weeks as David Moyes equips his squad for a busy season.