Everton manager David Moyes and his captain Phil Neville have joined forces to insist that now is the time for the club to prove they can live with the big boys.
The Toffees are at Stamford Bridge on Tuesday night for the first leg of the Carling Cup semi-final with Chelsea.
Moyes - who on Monday lost the battle with FIFA and the South Africa Football Association to keep midfielder Steven Pienaar for the match ahead of the African Nations Cup - believes Everton 'want it more' as the Merseysiders bid for their first final since 1995.
He said: 'We have got to bounce back after the FA Cup defeat on Saturday by Oldham, but we have been on a great run this season and we know what we are capable of.
'It will be a real test, though. Chelsea are a very good side. But they are without a few players, us as well, so we will see how it goes.
'The big four clubs are under great pressure to win trophies, that is what they are judged by. They have to win everything from Europe to the Carling Cup.
'There's not enough trophies to go around, and clubs like us find it tough to break into that group.
'It's hard to break that monopoly. But hopefully we can show that we want it more than they do.
'They have more experience of games like this, but we aim in the future to have as much experience as they have at this level. I want this to be the first of many.'
Neville, who won 10 major medals at Manchester United, now wants to claim the one he has missed - the League Cup - with Everton.
He said: 'The chance of getting to Wembley, even playing in a semi-final, is massive for this club after so long without being in a major final.
'We are both without players because of the African Cup of Nations, and Chelsea are also without John Terry and Frank Lampard.
'Obviously they are fine players, the backbone of Chelsea's side, and with them not playing we do have a better chance.
'We aim to win, it is no good going to Chelsea just to draw because they will eventually score against you.
'We have not produced good results against teams in the top four, but we have always acquitted ourselves well and played good stuff.
'But against such team, a small lack of concentration can be so costly, and those sort of lapses have cost us.
'We found ourselves 3-1 down against Arsenal having been ahead and wondering how that had happened. You dare not switch off against the very best or you will be punished.'
Neville added: 'The belief is there for us, now we have to go out and do it. We keep playing well and losing to the top four, now is the time to change that.
'It is too many years since Everton were in a semi-final of any sort, now I believe we are ready to challenge the big boys.'