Carragher said: "We have got an opportunity to go top of the league with United playing on Sunday and it is one we have got to take.
"We have got to try to pick up three points in every game and try to catch United. A draw is probably not a great result, even though we can go top with a point because of the goal difference.
"But when the game is finished on Saturday, we want to be top of the league."
The 31 year-old knows it is vital that Liverpool take maximum points from all their remaining fixtures to put maximum pressure on the champions.
He said: "You would not have expected United to lose two games on the bounce. That is the way the title race is in England, though.
"Every game is very difficult and it just goes to show how well we have done this season when United lose two games in a week, but we've only lost two league games all season.
"We are only one point behind now, but United still have a game in hand, but between now and the end our aim is to try to win every game so their extra game doesn't count."