Liverpool are in negotiations with the Dutch club to secure the services of Slot, who has in turn spoken of his desire to take charge at Anfield.
Klopp is standing down at the end of the season after nine years at the helm and feels the team will be in good hands with the 45-year-old Dutchman, who won the Eredivisie last season.
Klopp said: "I'm not involved in the process, just to clarify that.
"What I like a lot about it, if he is the one, is that he really wants to take the job. He is desperate. So come on, let's go for it. Excited.
"I like the way his team plays football, definitely. All the things I hear about him - some people I know know him, I don't know him yet - but some people tell me that he's a really good guy, and I like that a lot.
"So, good coach, good guy, looking forward for the club. If he's the solution, or the man, then I'm more than happy.
"It's not up to me to judge these things but it all sounds really good to me.
"It's the best job in the world, best club in the world. Obviously now, I help even by not finishing on a high, it looks like, so there's space for improvement.
"It's great job, fantastic people. He would take a really interesting job."
Klopp would have wanted to sign off with a second Premier League title but that now looks like a long shot after defeat at Everton in midweek left Liverpool at a significant disadvantage to rivals Arsenal and Manchester City.
The German is resigned to the title bid falling short and suspects that, privately, the Gunners and City will think the Reds are out of contention too.
He said: "I'm pretty sure Arsenal and City see it now as a two-horse race. They might have to say something else publicly, but they don't expect for themselves to lose two games from now on.
"I don't expect them to do that. But if it happens, then we should be there, and that means we have to win our football games, starting with West Ham. We have to show a reaction."
Liverpool face the Hammers in a Saturday lunchtime encounter at the London Stadium.
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