Both coaches are expected to rest players for the meeting between second and first, and, since both have already qualified for the Champions League again next season, the stakes are strangely low.
Klopp joked that losing to Bayern this weekend "would be the most pleasant of defeats", having guided his team into the Champions League final at Real Madrid on Tuesday - and allowed his players to celebrate accordingly.
But he stressed today that his side will give it their all.
"Of course this game doesn't have the same stigma that the one on May 25 has, but we still want to make a really good football game of it," he said.
"We are playing in the most fantastic stadium in the world. It may not be a test of character, but it is still a football game that we are looking forward to. We are also playing for our fans."
Nevertheless, with the Wembley final in the back of his mind, and second place already secured, Klopp will make a few alterations to his starting XI.
Mario Gotze is definitely out injured while players carrying knocks - such as Sven Bender, Marcel Schmelzer, Marco Reus and Ilkay Gundogan - may be afforded a rest.
"We don't want to take any risks, but we are not going to rest people just for the sake of it," Klopp added. "We have got to keep in our rhythm."
Bayern coach Jupp Heynckes is set to be even more ruthless with his team selection, on the other hand.
Bastian Schweinsteiger, Philipp Lahm, Arjen Robben and Franck Ribery will not even make the trip to Westphalia, but that should not detract from what Heynckes predicts will be an entertaining game.
"Both teams are definitely going to want to win the game tomorrow," he said at a press conference.
"We are going to have Gomez and (Claudio) Pizarro on the field, and aren't they top players?"