The Bavarian giants wrapped up their 23rd German league title on Saturday with a 1-0 away win against Eintracht Frankfurt.
"It was a cool feeling when the title was finally sealed," ESPN quotes him as saying. "I was over the moon. Nobody has to talk about Juve right now. We are all aware how important the game is, but you have to be human and savour the moment.
"We have done it after only 28 games. Nobody thought we are capable of doing so. You have to be proud of what the team and the coaching staff has achieved.
"Until now it is a very good season. We can proud of what we have shown in the league. If this remains our only title we will, however, all be disappointed."
Bayern will take on Juventus in the second leg of their Champions League quarter-final tie on Wednesday.