Liverpool suffered a 2-1 defeat to Manchester United at Old Trafford on Sunday.
Wyane Rooney and Park Ji-Sung scored the goals for United while Fernando Torres scored Liverpool’s goal.
He told Sky Sports: “It will be difficult, but still we have to fight. There are a lot of points to play for so we have to keep going and see what happens in the next game.
“I think they (the fans) can see that the team today was solid again. It is not like we are not doing well, not creating chances or are too weak.
“It depends on the other teams too. We have to win the first one, see what the position is in the table and think about the next one. We have to take one game at a time.”
Rooney scored United’s equaliser from the penalty spot and Benitez did not disagree with referee Howard Webb’s decision.
The Liverpool boss added: “It appears that it was inside so it was a penalty, and Carra was there so it was a yellow card.”
Benitez felt his side deserved at least a draw from the game at Old Trafford.
He said: “I think it was very tight. They didn’t have too many chances, we didn’t have too many.
“Between two top sides the difference is always little things and they were better at these things.
“It was a great goal (from Torres), a great header. But we conceded too early and in the second half you could see they are a good team, no doubt about this, but they didn’t have too many options and it could have been a draw, with a little bit of luck.”