The five-time European champions take on Porto at Estadio do Dragao on Wednesday night in the first leg of their last-16 clash.
"It's a chance, but that was clear before," said Klopp. "When we sit on the plane, we want to go to the next round.
"I think the lads have already done a lot of things that are special and new, but at such a heavyweight club like Liverpool it is normal that everybody will compare everything with the past, other legends and stuff like that.
"It's normal. It's just nice to be involved, nice to have the opportunity to go to the next round. I don't think anybody thinks we are already there – Porto are a really strong side.
"This game needs everything from us. It's still possible and that's so cool. It's a fantastic competition and we deserve to be in it.
"We chose the most difficult way with our qualification, but we are in it and it's a cool moment again."