The Reds are yet to win this season, but Enrique insists that the club are on the right track.
"We are trying but there is still time - because there is a new manager we need time - but if we can play like this I think we will get many points," said the Spaniard.
"We can't compare with Barcelona - they are different, but we are trying to play like this. We are starting to learn but we are learning well."
Rodgers joined Liverpool over the summer from Swansea.