"It was important that we responded after the disappointment of the Chelsea defeat," he told liverpoolfc.tv.
"We have to give everything in the Premier League and keep fighting to the end. We must keep winning to put pressure on Man United. Hopefully it will be enough to see us win the title.
"The win has restored our confidence and that was important. We know it will be very difficult on Tuesday at Chelsea. We will look to give 100 per cent and try our best and then see what happens. You never know in football - anything can happen."
Prior to kick off Anfield fell silent to mark the upcoming 20th anniversary of the Hillsborough disaster and Benayoun was pleased the Reds were able to cap the afternoon with the three points.
"It is very sad and we will all attend the service on Wednesday and pay our respects," he said. "We have to make sure something like that never happens again.
"The crowd were amazing today and hopefully we gave them something to cheer at a difficult time."