The 40-year-old insists Champions League football is the Anfield outfit's priority despite a perfect start to the league season, also claiming the Reds' new signings will add depth
|12/1||Liverpool are 12/1 with BetVictor to win the Premier League
And with Liverpool boasting the only 100 per cent record in the Premier League and yet to concede, expectation levels are high on Merseyside - but boss Rodgers is only focused on securing Champions League qualification.
"Thirty five [Premier League games] to go, we won't be getting carried away, we've got a lot of work ahead of us," the Northern Irishman told reporters.
"The initial challenge is to get into top four and be in the conversation for that as long as we can, and I don't think we can look anything beyond that for a while yet."
New signings Mamadou Sakho and Tiago Ilori were in the stands to watch the United game and Rodgers is confident the duo can add depth to his squad.
He added: "We need that depth, they are quality players and they'll help us move forward."
Liverpool's win over their arch rivals was offset by injuries to both Sturridge (thigh) and Glen Johnson (ankle), with the club's medical team currently assessing the duo.