The Egyptian forward bagged his 43rd goal in European football in Thursday's demolition of Toulouse, surpassing Thierry Henry's record as the Premier League player with the most-ever European goals for a single club.
Liverpool boss Klopp admitted his focus was not on Salah's feats in the history books but instead his "really special" player continuing to shine at Anfield.
"Maybe he would have broken a few more records if I would be more into that because sometimes I left him out when he could have broken a record," Klopp said.
"It wasn't intentional but I'm not too much into this.
"He broke a record [against Toulouse] but if not he would have broken it in two weeks or three that's clear. He's just such a good player.
"We appreciate him and we will appreciate him even more after his career when we realise we saw something really special."
Salah, 31, has shown no sign of slowing down in what is now his seventh season at Liverpool and Klopp sees little reason that he would anytime soon.
"Off the pitch he behaves like a grown-up man but besides that he's still a young player," the German said.
"He's so fit. I think if we scan him, the majority of the bones are probably 19 or 20 [years old] because he just keeps in such good shape. [He has[ game understanding. That's what we try to give young players.
"They all know an awful lot about football when they finish their career at 35 but the earlier you can get this information the more useful it is.
"And with Mo he understands the spaces much better, he knows how players react on him and if he cannot score he can still be a threat for us and that's super important... I cannot compare Mo to other 30-odd-year-old players because I don't think biologically he is."