The Reds - inspired by Salah - booked their place in the Champions League semi-finals with a win at Manchester City on Tuesday, but their attention returned to domestic action in a victory that puts pressure on second-placed rivals Manchester United.
Rush sets the standard for Liverpool strikers but Salah is aiming to topple the Welshman and score another eight before the end of the campaign - to break the record for most goals in a season (47) that Rush achieved in 1983-84.
If further decoration were needed, it reinforced the growing feeling that when votes are counted for the players' Player of the Year award, it will be his name which comes out head of Manchester City's Kevin de Bruyne.
"But you can see with the team, everyone tries to pass the ball to me to help me".
Salah's extraordinary debut season continued as he helped the Merseysiders into the Champions League semifinals, and the feelgood factor shows no sign of waning as Klopp shrugged off concerns the 25-year-old will be the subject of a massive transfer bid this off-season. If you had a choice between the Champions League and [honours like the Golden Boot] then of course the Champions League.
Sadio Mane scored as well as Mo Salah and Roberto Firmino in the Reds 3-0 win
"It gave us mountain to climb, we had chances after that, didn't take them and the third goal I thought was unfair on us".
Less encouraging is the situation regarding Emre Can, whose participation for the rest of the season may depend on the club reaching the Champions League final in Kiev at the end of May.
It was Nathan Ake, playing on the left side of a back three, that had the challenge of keeping Salah quite, the Dutchman doing fairly well in comparison to some more senior defender's that have faced Liverpool's star man this season. "And what a number we scored as a team in the whole season, that's insane". It's also very close, it's just seven goals. Now we still have four games and they (Tottenham) have five games so I have to think about my games and we see.
"His finish in the second leg of the quarter-final was just incredible and there have been so many moments like that throughout the season".