Germany were eliminated by Paraguay in the Round of 32, prompting fresh questions over Julian Nagelsmann's future after another disappointing major tournament for the four-time world champions.
Klopp, who now works in a senior football role within Red Bull's global organisation, acknowledged that his name is regularly mentioned whenever the Germany job comes under scrutiny but stopped short of discussing any potential interest.
"I understand that when people talk about the national team coach, my name is mentioned somehow. But this is not the time to talk about it."
Any move for Klopp or another candidate would depend on the German Football Association deciding to part company with Nagelsmann.
The Germany coach, however, made it clear after the defeat that he wants to remain in charge despite overseeing another early World Cup elimination.
"If you are eliminated in the first phase, it is not good enough for German football.
"This is the third consecutive elimination, so we are no longer among the leading nations. I am disappointed.
"If the DFB wants me, I will continue.
"I know many people want me to leave, but I would love to stay if the federation wants me. I will present my arguments to those responsible."
Nagelsmann also acknowledged the scale of Germany's decline on the international stage after another campaign ended well before the latter rounds.
The DFB has yet to indicate whether it will review the national team's coaching position following the defeat, leaving Nagelsmann's future unresolved.
Klopp's comments are unlikely to silence speculation completely given his profile and previous success in management, but he made no attempt to encourage suggestions that he could be preparing for a return to the dugout.
For now, Germany's immediate focus remains on deciding whether Nagelsmann will be given the opportunity to lead the country's rebuilding process beyond another disappointing World Cup.