Mohamed Salah and Sadio Mane were on target as the Reds inched closer to a first league crown.
Speaking after the game, Klopp hailed Salah as ‘world class’ after watching the Egyptian fire the Reds back stun the Blues on Sunday.
“It was a brilliant goal – world-class,” Klopp said about Salah’s strike. “A really, really, good goal from our side. It was a brilliant goal in all departments.
“It blew me away. Today was very, very important because Chelsea are so strong. What we did to win that game was amazing. We have closed the slipping book.”
He added”I’m so proud of the team, it was a fantastic performance. What a team, what a stadium, what an atmosphere.
“I’m so thankful I can be a part of this, it’s great. It’s just outstanding, very overwhelming at times.”