The Reds currently sit in fourth spot on England's top flight table, eight points off league leaders Arsenal, ahead of this weekend's clash between the two sides at Anfield.
Rodgers was quizzed on whether or not he thinks the Merseysiders are capable of winning the title this campaign but the Northern Irishman felt something of that magnitude is not quite achievable for his side.
"I think for us, as a team, it's too early for that," Rodgers told Sky Sports.
"I was at the Manchester City-Chelsea game the other night and I look at the squads they have, which they have built up over the last few years and it's very difficult for us, even though we have competed right the way through the season.
"So, I wouldn't say for us this year, no. We wouldn't be challengers for it."
He added: "Will we play a part in it? Yes, we will, because we are professional and we want to fight to finish as high as we possibly can.
"We look it and there are six points between us and (second-placed) Chelsea, so there is still a lot to play for and we will be fighting right until the very end.
"But, if I'm asked to give an honest answer, I'd probably say that this year is too soon for us."
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