The Dortmund boss feels the Bavarians would be just as well off if they had not hired the 46-year-old and refuses to settle for second place
The former Germany international succeeded Christian Nerlinger in his position in the summer of 2012 and has since overseen a fresh period of success at the club.
However, Klopp believes that Bayern would have done just as well without the ex-BVB star and coach over the last season and a half.
"If I were him, I'd thank God that someone had the idea of hiring me every time I walk into the Bayern training ground," he said at a press conference.
"I don't know if Bayern would have got one less point without Sammer."
Klopp also claimed that his side refuse to be happy with a second-placed finish in the Bundesliga each season and feels his side could have done far better.
"We felt that there were games this season in which we would have been better to play football," he said on Friday.
"We're not satisfied with second place."
Klopp expects another tough test when Dortmund face Freiburg on Saturday, especially as star striker Robert Lewandowski is unlikely to be available for the trip.
"Freiburg will want to show that they belong in the division," he added. "It has not been easy for them with the Europa League. They have had good games in the last few weeks but were not rewarded.
"Lewandowski's doing well, but it remains to be seen whether he'll be included. There was a slight stretch, (but) the knee is stable and he is pain-free. It's not a gamble I'm about to take."