Liverpool never hit their best form on a tense afternoon, but they showed great resilience to come through a potentially tricky contest.
Philippe Coutinho was restored to the starting lineup, having started on the bench at Stoke, along with his compatriot Firmino.
Joel Matip was a towering presence throughout the contest, with his aerial ability and class on the ball both catching the eye.
The first half was a dire affair, but Firmino headed home right on the stroke of half-time, following Lucas Leiva‘s flick-on.
Simon Mignolet has been similarly under fire from a section of the fanbase, but as was the case away to Stoke, he made a vital second-half save.
He enjoyed the win, as did Klopp.
The victory sees Liverpool leap back into third place in the Premier League, and their top-four chances are now looking extremely healthy.
Next up is the visit of Crystal Palace next Sunday, as the Reds look to make it six wins out of eight.