The versatile forward feels he is not the man to replace Philipp Lahm, but believes he can still be a leader without wearing the armband
National team coach Joachim Low is set to announce a new skipper following the international retirement of Philipp Lahm after Germany's successful World Cup campaign, yet Muller has all but ruled himself out of the race to succeed his Bayern team-mate.
"I think there are a number of candidates ahead of me in the pecking order," the versatile attacker was quoted as saying by Bild.
"Bastian Schweinsteiger was vice-captain, while we also have a very experienced goalkeeper in Manuel Neuer, who is the No.1 in the world for a good reason.
"There's absolutely no reason to worry about this.
"I think I could be a leader, but I don't necessarily need the captaincy armband. I don't need an armband to have a positive influence on the team."
The 24-year-old has made 56 appearances for Germany so far, scoring 22 goals in the process.