According to Klopp, sides who face Pep Guardiola's side often feel as if they have lost before the game, although against his side, they are motivated to beat one of the better teams in the league - making it difficult for Dortmund.
"Sure, people really love Dortmund, but you can still beat them. It's definitely not very comfortable," Klopp told reporters.
"For many opponents, playing against us is the game of the year. Of course they have to play Bayern too, but nobody expects anything against them.
"That is why Bayern are nobody's role model - they're just the league leader. It is somehow cooler that way."
Dortmund face Hertha Berlin in the Bundesliga next Saturday.