"It was important that we got a victory on Saturday after what happened against Arsenal in the cup games at Anfield, but it was also important because the win came against Chelsea," said Kuyt.
"We're only five points behind them now and, with 14 games to play, there is still a long way to go.
"We've shown recently that we can win away games, and on Saturday we have shown that we can win big games.
"We have a lot of confidence now and we need to keep going on. We are on a great run in the Premiership with a lot of clean sheets, and the only game we've lost over the past couple of months was at Blackburn.
"We still have to play against Manchester United and Arsenal here, and we feel as though we want to show what we can do against them."