Julian Nagelsmann says Thomas Muller's new contract sends a "positive signal" and hopes other Bayern Munich players follow suit.

Long-serving forward Muller this week extended his deal with the Bundesliga champions until 2024.

Robert Lewandowski, Manuel Neuer and Serge Gnabry are only under contract with the Bavarian giants until the end of next season, while Corentin Tolisso and Niklas Sule are nearing the end of their deals, with the latter set to join Borussia Dortmund as a free agent ahead of 2022-23.

Bayern boss Nagelsmann says it was vital to keep Muller and believes the 32-year-old's decision to commit his future to the club may prompt some of his team-mates to stay.

He said in a press conference on Friday: "It was very important that he extended, this will also send a positive signal to people both within the club and outside of the club.

"It could mean others will follow suit now. I'm really happy about it."

Bayern face relegation-threatened Stuttgart in their final home game of the season at the Allianz Arena on Sunday.

The champions will be presented with the Meisterschale trophy and Nagelsmann wants his side to put on a show in front of a sell-out crowd.

He said: "I want to win the game, even though I have a lot of respect for Pellegrino Matarazzo as a man and as a coach.

"We will give our all to try and win our final home game in front of a sold-out Arena this season."

Stuttgart are 16th in the table and battling to avoid the drop but Nagelsmann says they can pose a threat.

He added: "They're a very versatile team. They can set up in a number of different ways. Matarazzo has some creative ideas. They're in a tough situation as they fight relegation. They've had a number of injuries at key moments this season."

In the past 38 seasons, Bayern have lost their final Bundesliga home game only once and it was Stuttgart who inflicted that defeat on them, winning 4-1 in 2018.