Gotze is currently eyeing a new challenge after falling out the pecking order at Borussia Dortmund
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The 28-year-old made his breakthrough under Klopp at Borussia Dortmund before joining Bayern Munich in 2013.
He returned to Dortmund in 2016 but he's now bound to leave the German club at the end of the campaign with his contract not renewed.
"Everyone in the business knew that his contract was expiring," Klopp told Sky Germany.
"If things have not been settled a year in advance, there are some indications that it is coming to an end.
"Mario will probably need a few games in a row. He needs a club that gives him the feeling that he doesn't have to change the world in every game.
"Instead, Götze has to just play normally and then play again and play again. Then I think we'll see old Mario Götze again.
"That is obviously not possible in Dortmund at the moment with the quality that they have in the offensive area.
"It makes total sense that Mario leaves the club. I couldn't wish him more luck, to be honest.
"I think he is an exceptional player and also an exceptional character. I like him very much and wish him all the best."