The Egyptian star's contract at Anfield expires at the end of the season and Slot says it is up to all parties to resolve questions about the player's future.
He told TNT Sports Brazil: "The only thing I think about is he is so important for us. Scores important goals, works hard for the team.
"I’m hoping he can enjoy that feeling many, many, many more times. Especially if I’m here but also if I’m not here.
"I’m hoping he can do this many more times.
"He’s been incredible for Liverpool over the past eight years. He’s been incredible for us this season, and I hope he can continue doing this for the rest of the season and maybe longer to come, but that’s up to him and the club to find the idea about the future."
Salah suggested on social media that he would "never forget" the feeling of scoring at Anfield "no matter what happens" after hitting the winner for the Reds against Brighton at the weekend but Slot insists that star is in a "very good place".
The coach said: "I don’t look at Instagram posts of my players, I only talk to them which you can’t, which is the advantage I have.
"Mo is in a very good place at the moment. As long as he has been at Liverpool, he has been in a very good place, but this season again as well. I am hoping he will make a post after tomorrow and on Saturday again. What he said with that, that is not important.
"For me what is important is how he plays and what he tells me when we have conversations. That is what matters and not how you guys interpret one of his posts."