Tuesday’s draw at Anfield has given Liverpool a 5-0 aggregate win over FC Porto in the last 16 tie.
It is the first time since 2009 the Reds have reached the last eight but Liverpool Manager Klopp insisted it “should not be a big surprise”.
The Reds won 5-0 in Portugal to set up a comfortable return leg at Anfield.
“The next round will be difficult, seven other very good teams – maybe four of them are from England, which doesn’t make it easier,” Klopp said.
It is almost 11 years since Liverpool faced AC Milan in the Champions League final, losing 2-1 in Athens.
Sadio Mane acrobatically fired an effort over the bar and hit the post in a generally tame first half that also saw Dejan Lovren head narrowly wide.
Klopp used the opportunity to rest players for Liverpool’s Premier League match against Manchester United on Saturday (12:30 GMT), making five changes to the starting line-up.
They will discover their next opponents when the draw is made on 16 March.
The quarter-final ties will be played in the first and second weeks of April and Klopp says he “doesn’t care” who Liverpool’s opponents are.
Photo Credit: BBC Sports
