The Merseysiders are currently in 10th place in the Premier League table, 17 points behind leaders Manchester United but only four off fourth, with Rodgers’ men having secured back-to-back wins over Southampton and West Ham.
Rodgers has been tasked with the challenge of taking the Reds back into Europe’s elite club competition this term.
But the Liverpool boss, whose side have only lost once in their last 11 games, believes the Anfield outfit should be targeting more than just fourth place.
“I said to the players that everyone talks about fourth place but what about third?” said Rodgers.
“We are 11 points off second so, if we can get some consistency, keep our mentality and our focus then it is not fourth place we want to aim for.
“We still have to play Manchester City and we should have beaten them at home.
“You want to aim as high as you possibly can but, of course, when the club has been out of the top four for so long, that is the ultimate ambition.
“But we will not get too carried away. We are not even halfway through the league. We just need to focus day to day on our work, tactically prepare the team, keep confidence high and keep as many players available as we can in order to get results.”
Rodgers added that he has been thrilled with his players’ attitude since he took the reins from Kenny Dalglish in the summer.
“I am always positive with the players because I’ve seen their work, their honesty and I see their willingness to take responsibility,” he said.
“I want to reinforce that it isn’t just about fourth place for this club. This club is bigger than that. Everyone is talking about arriving in fourth position when there is not that big a difference between us and third.
“There is not that big a difference to second. There are 17 points between us and Manchester United and that is a big ask, of course, but 11 points isn’t and four points certainly isn’t. There is real belief in the group. They believe in what we are doing.”
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