Liverpool comfortably overcame Bournemouth at Anfield to secure three Premier League points on Saturday. Jordan Henderson crossed following a half-cleared corner and Mane flicked a header towards goal, then pounced to slam home the rebound when Asmir Begovic could only parry.
It was a attractive Anfield day for football and the home side echoed that, opening the scoring with Sadio Mane before Mohamed Salah's header ended any hopes of a Bournemouth revival, Roberto Firmino adding a third late on.
Klopp's key three have fi red Liverpool into the last four of the Champions League.
However, Klopp's side did not rest on their laurels and found a rhythm and intensity the visitors struggled to match throughout.
"Thirty-one years ago since Ian Rush scored over 40 goals?"
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During a dominant first half, Liverpool created 10 goalscoring opportunities to Bournemouth's one, and by full-time Liverpool had made 618 passes to the visitors' 375. It wasn't to be for Bournemouth however, as Liverpool put the game beyond any doubt as Firmino got in on the act in the final minute.
However, while it took Rush 65 games to reach his total, Salah has now played 20 fewer games.
Asked about his leading scorer possibly being distracted by the prospect of that personal accolade, Klopp added: "We need his greed, we need him to want to score".
At half-time, despite Liverpool clearly in the ascendancy, the score read 1-0 in favour of the Reds and the home crowd was desperate to see a quick goal to calm the nerves.
Virgil van Dijk narrowly cleared the crossbar with a drive from distance; however, chances were proving more hard to come by as Bournemouth regrouped.
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But Salah has reached his 40 quicker than either of his predecessors and, with potentially seven games remaining for his team, may yet challenge the all-time club record, now held by Rush who scored 47 goals in a blistering 1983-84 campaign. It's like, 'Give it [to] him.' We have to mix it up a little bit.
"We had chances after that, didn't take them and the third goal was unfair on us". After the City game, you have to concentrate more because you usually know how it [can go].
The result ensured Liverpool consolidated their position in third place in the Premier League standings with four games remaining.
That was Mane's 44th Premier League goal as he became the highest goal-scoring Senegalese when he surpassed former Chelsea and Newcastle striker, Demba Ba.
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They are now eighth in the league but a win against Burnley on Saturday could move them to within three points of Sean Dyche's side. "I think so, yes", he said.