Rodgers' team achieved a disappointing seventh-placed finish in the Premier League in 2012/13, and last qualified for Europe's premier club competition in 2009.
However, the 40-year-old is refusing to hide behind the excuse that clubs like Manchester City have more financial muscle than Liverpool, and is aiming solely for a place in the top four.
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"I can stand here and make excuses, I can say City have spent £90-odd million and other teams already in there have got stronger and reinforced as a group, but that's not going to solve anything, it won't help my job here.
"If you start to think about it being unfair then you just anchor yourself and it's hard to move on then. That pressure to deliver is what you expect at a big club, of course it's difficult, but it's why we are here.
"If you are in those top echelons you can maybe attract another type of player but I'm not going to bleat and moan about it being unfair, I just need to get on with the job and do the best I can.
"We have got to fight for our life, with our play. Play with the type of football that can maybe be different and get players in who are hungry."
Liverpool begin their Premier League campaign against Stoke on Saturday at 12:45PM.