Not this year: Rodgers admits defeat on Premier League title [GETTY]
Liverpool currently sit fourth in the table, eight points behind leaders Arsenal with 14 matches remaining.
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When asked whether the Reds, who last won England's top flight in the 1989-90 season, can become champions this year, Rodgers said: "I think for us, as a team, it's too early for that."
"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."
Rodgers hands over title to challengers Arsenal, Chelsea and City [GETTY]
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Liverpool host the Gunners on Saturday and are yet to play title candidates Manchester City and Chelsea and the 41-year-old Northern Irishman believes his side will play a part in deciding where the trophy ends up.
"Will we play a part in it (the title race)? Yes, we will, because we are professional and we want to fight to finish as high as we possibly can," said Rodgers.
"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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