Goals from Mohamed Salah and Divock Origi ensured Klopp’s men won the Champions League ahead of Tottenham.
Klopp said that he and Guardiola both promised each other that they will challenge again next season for all the trophies.
“A second ago I spoke to Pep Guardiola on the phone,” Klopp was quoted by Express UK as saying.
“We promised each other that we will kick each other’s butts again next season. We will go for everything and see what we get.”
“Getting 97 points in the Premier League and winning the Champions League is an unbelievable long way to go and we did it. That’s incredible.
“Our head physio (Lee Nobes) worked for Manchester City at the start of the year but he wanted to win the Champions League… no, it’s a joke!
“Now we’ve won something, we will carry on. We will win things. That is big. I am really happy.”