The Reds won 3-0 on Saturday, with Szoboszlai outstanding on the day.
Slot said afterwards: "I think Dominik is a great example of the model we are using here at this club. We sign young players from another league – in this situation that was Leipzig, where he was already known for being a player that was really physical.
"But I think it's fair for me to say that the player that we brought in was already good but where he is now, I think much better than where he was two-and-a-half years ago.
"That is what you get if you sign young players and you give them a bit of time and you let them play a lot. That's why I also think that that trajectory he's been through is the same trajectory we can expect from other young players we have that we've signed from other leagues."
On Szoboszlai being a potential future club captain, Slot also said: "Yes, but he's still young. I think he has a lot of attributes already, especially when it comes to leading by example. But there's still a step to make in terms of leadership, being vocal, being a voice in the dressing room if I compare him to Virgil (van Dijk), which is completely normal because Virgil is 34 and has seen probably James Milner or Jordan Henderson and these players.
"So it's really good for Dominik that he sees Virgil as well. That would be a next step for him, to be as vocal and as loud as Virgil is. That comes with time, I think, but for all the other things, he has a lot to become a very influential player for Liverpool and you could call that a leader."