The Reds only managed a 4-4 draw at home to Arsenal last night.
Liverpool are at the top of the table on goal difference, ahead of Manchester United who now have two games in hand.
“It’s very difficult. United are a strong side but we won’t give up and we will continue to try and do our best,” Benayoun told Liverpool’s official website.
“We will keep trying, look to win our remaining matches, and hopefully we can still do it.
“It was great game for the supporters to watch but not for us because we made too many mistakes. We should have won the game.
“In the first-half we created four or five really good chances but then they scored with their only shot of the half.
“We came back strong in the second-half and led 2-1. At that point we were controlling the game but we made more mistakes and then when we had to chase it they punished us.
“We have the best defence in the league and the best goalkeeper too, but I think we didn’t defend well as a team against Arsenal. We scored four goals and still didn’t manage to pick up the three points so I think that shows we should have done better.”
