The Egyptian also assisted another goal for Roberto Firmino in a clinical and ruthless display amid a cold night at Anfield.
When asked if Salah has any similarities with the Argentine and could emulate the five-time player of the year, Klopp said: “I think Mo is on the way.
“I don’t think Mo or anybody else wants to be compared with Lionel Messi – he is the one who has been doing what he’s been doing for what feels like 20 years or so. The last player I know who had the same influence on a team performance was Diego Maradona.
“But Mo is in a fantastic way, that’s for sure. As it always is in life, if you have to have the skills you have to show that constantly and consistently, and he is very good. He helps us a lot.
“The boys love playing together with him, he loves playing with them so it’s good.
“He gave us a good four goals. I think that’s quite exceptional and another good performance.
“We had to cope and deal with difficult conditions tonight. It was slippery. Everybody suffered but not Mo in that situation. That is really special.”
Salah took just four minutes to make his mark on the game as he shifted past Miguel Britos and finished a right-footed shot through goalkeeper Oscar Karnezis.
The Egyptian then attempted to set up substitute Danny Ings with a perfectly-weighted pass around the corner, however the ball fell back in Salah’s path who turned home the rebound after Karnezis had denied the striker a first goal since 2015.