They currently sit eight points behind leaders Arsenal as the season enters its closing stages.
Rodgers – who only took control of the Anfield outfit in 2012 – feels that this term was too soon for his team to be in the mix, with the sides above all possessing stronger and deeper squads:
“I think for us, as a team, it’s too early for that,” he 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.”
Liverpool are still firmly in the battle for fourth spot and Champions League qualification, but they look set to face a tough run to keep Tottenham, Everton and old enemies Manchester United at bay.