Gerrard feels he can fulfil his ambitions at Anfield and has offered no indication that a switch elsewhere is something that he would consider, now or in the future.
"I don't think we're miles away," Gerrard told Sky Sports News HD.
"We have to be realistic and we finished eighth in the league last year, but we got to two major cup finals which shows that we are a good team and we can compete with anyone on our day.
"If we find a better level of consistency at the club, I think we can find ourselves higher up the table than last year.
"Who knows what's around the corner? For me, I just take each game as it comes and hopefully before I hang my boots up I can realise the dream of winning it, but I'm also realistic as well."