Coutinho, 27, struggled to live up to expectations at the Nou Camp after joining Barca from Liverpool in January 2018 and will be looking to revive his career in Germany.
Bayern will pay €8.5million (£7.78m) plus Coutinhos wages until the end of the season and have the option to buy him outright for €120m (£109.84m).
While many Liverpool fans will have little sympathy for how Coutinho career has panned out following his exit from Anfield, Klopp has high hopes for the Brazilian this season.
Amazing player, we really didnt want to let him go. Barca forced us financially, the Liverpool manager told Bild.
World class player, really good transfer for Bayern and the Bundesliga. I thought it was a good fit for both when I first heard about it.
It may sound strange, but we didnt have enough money to get him. Wed already spent all the money we got for him.
I have already told him in person that he and Bayern will be a good fit.
Its not so good for Dortmund, I hope Dortmund will win the title again because its getting boring with Bayern winning every year. But Dortmund have an amazing team.
Other teams like Bayer Leverkusen, Borussia Monchengladbach and RB Leipzig are also interesting teams and a lot can happen.