The German revealed that he had behind-the-scenes talks with the Egyptian to address his current performances.
The 26-year-old has three goals in nine matches – having netted 44 in his first year on Merseyside last season – across all competitions so far.
But his displays have been widely scrutinised having lacked the pizzazz of his performances in the second half of 2017-18.
Reds legend Jamie Carragher, however, told Sky Sports this week that Salah is neither in “great form” or “bad form” and insisted: “I think a little bit too much has probably been made of Salah’s form.”
And ahead of Liverpool’s Champions League clash with Napoli tonight (8pm), Klopp has similar beliefs and has called on Salah to keep at it as he looks to rediscover the kind of red-hot streak he enjoyed from November onwards last season.
“Be relaxed, completely relaxed, because there is no need for anything else,” Klopp told journalists when asked what he told Salah.
“The quality is there and so everything is fine. There’s nothing that I can tell you here [about the chat with Salah] because that’s between us like always.
“But it was absolutely clear that we would stand in a situation like this here and talk about it.
“Even Harry Kane, he scored two goals last week, but before that people were saying ‘He’s not even half the Harry Kane of last year’.
“For us, it is completely cool. If the player is not happy with it – that is clear. If you have a chance, you want to score.
“Even if Mo had scored 30 already, he would want 31, so that is disappointing for a player, but that’s all. There is no difference.
“It is completely normal, all good, as long as we perform like we have, everything will be fine.”
And Klopp insists Salah is not under pressure to surpass the 40-goal mark for the second successive campaign.
He added: “There are not big talks necessary, just a completely normal situation. If you don’t score 10 goals in your first seven games then everybody asks if you can do it again.
“It is not interesting, even [Liverpool’s all-time top goalscorer] Ian Rush didn’t score 40 goals in 10 seasons, season after season after season. That’s not how it works.
“You have to be a proper threat. As an offensive player you have to work hard.
“If it’s 20 or whatever at the end of season it depends how much success we have as a team if it is successful or not. There is no personal success possible. All awards are for everyone. We do what we do best.”