The 44-year-old trainer, who led BVB to their second consecutive title this term and a DFB Pokal triumph, labelled his team no ordinary double winners, but stressed that despite beating the Bavarians to silverware, BVB remain inferior to Jupp Heynckes' men.
“Bayern's status [as the number one team in Germany] is not going to falter after two years," the former Mainz coach told Kicker. "With 73 points, the DFB Pokal and Champions League finals, they actually nearly played a perfect season.
“We are no normal double winners, though.”
Klopp then went on to explain how the club is planning to replace outgoing midfielder Shinji Kagawa, who appears to be heading to the exit door at the Signal Iduna Park.
"We now have [Marco] Reus, [Mario] Gotze. [Ivan] Perisic is very determined to play, also [Moritz] Leitner and [Ilkay] Gundogan can play there [in Kagawa's position] as well."
He then concluded the interview by confirming the club's ambitions for next season: "The goal is to again reach a very, very high level and go far in three competitions.
"We have vowed to remain courageous in the transfer market and not to strive so much for security."