The Reds secured their second victory in three days thanks to Georginio Wijnaldum and Mohamed Salah’s moments of brilliance.
After a goalless first half where both teams failed to produce any scoring moment, Salah ended his six-game goal drought in the league with a trademark curler to light up the game on 57 minutes.
He got his second and doubled Liverpool’s advantage eleven minutes later, before Netherlands midfielder Wijnaldum sealed the win on 84 minutes, but the hosts grabbed a late consolation through Craig Dawson during the dying embers of the game.
"It was a great game, a very professional game, very controlled against usually a flying side,” Klopp told Sky Sports after the game.
"We didn't create enough in the first half. We made little adjustments at half-time and it paid off. We scored three unbelievable goals.
"In the first half we had three midfielders on the other side of the ball so Xherdan Shaqiri had to pass backwards.
“We wanted Divock Origi more in the centre. We played a double 10 then with Thiago and Shaqiri. James Milner is fine but showed signs of hamstring so we chose the right moment to bring him off.
"Shaq I thought he passed the ball too early. What Mo [Salah] made of it was incredible. The first touch was unbelievable.
"These boys are a really good group. They're not happy at not being successful, not winning, but they always have the right attitude."