Cisse said: "I think every player is aware of the great history of the club and when I came here it was because Liverpool are considered to be one of Europe's big clubs.
"But our past will not win us the Champions League. If we win it will be because we have the basis of a great team here.
"We have the players, we have the manager, and the only thing we need now is the time to develop.
"This is the first season at the club for a lot of players like myself - and also for the manager. There have also been a lot of injury problems, so whatever happens against Chelsea this has been a good season.
"But we think we are capable of beating Chelsea and going to the final - why not? We have some great players here and Anfield is a very special place to be for the big games. There's Jamie Carragher, for me the best defender in the Premier League this season, and we have Steven Gerrard, the best midfielder. They are local players who have the team in their hearts.
"But the biggest reason for signing for Liverpool was because I wanted to win the Premier League and the Champions League.
"One of those things could still happen this season - I hope so.
"Yes, we have to get past Chelsea and they are a great team, but we have played them four times now this season and every time we have had opportunities to win.
"If Chelsea are still confident after the draw in London then that is good for them. But while confidence is an important thing to have, too much confidence can be a bad thing. It is when teams feel too good that they are in danger of getting a surprise. It is better for us to let them have their big confidence.
"We are confident too - but not the way that Chelsea's players seem to be.
"It will be a hard game, for them and for us, but at the end of it the best team will be in the final - and I think that will be us."