
And the Reds boss has challenged match-goers to find an extra gear on Tuesday night to produce an Anfield atmosphere that can inspire a comeback against the current champions of Europe.
Goals from Desire Doue and Khvicha Kvaratskhelia have put PSG in firm control in their last-eight tie ahead of the second leg on Merseyside.
While Slot admits his players need to improve significantly on their showing in the French capital last week, he believes another famous European night at Anfield is possible.
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"Yes there is a belief we can do special things tomorrow," Slot said. "But we also need to be very, very, very special tomorrow to achieve that as we are playing against the champions of Europe. That makes the task more complicated but not impossible.
"[The fans will be] just as important as our performance, so I think we have to better much, much better than we were last week.
"And their experienced players who experienced Anfield last year, they think that they know what is coming up, so I can only hope our fans can find an extra gear, compared to last season.
"Which I will argue if that is possible because the atmosphere last season was unbelievable. But I think our fans up for it to make it even louder, which is needed.
"Because then their players get what they don't expect, which is first of all a better performance - which I do think they will expect, by the way, because it was hardly possible to play at the same level again - and our fans, I think I can trust them if they are even louder than last season."
Slot added: "Where do I get belief from? You want one example, two, 10 or 200? In first 35 minutes at the Etihad, did you expect us to be 4-0 down 20 minutes later?
"Would you expect us, after losing 1-0 to Galatasaray, to then, in a different game, where we could have scored eight or nine at home? So the amount of times we have shown we can be much better than we were against PSG, that is clear.
"Even on Saturday, against Fulham, it showed how important a goal can be to change momentum. We were the best team on the pitch and then for 10 minutes it went more equal and we scored a goal and then 10 minutes later a second.
"A goal can change momentum, which happened in a negative way at the Etihad in a positive way on Saturday against Fulham at Anfield."