The next hurdle is tonight's fourth-round trip to Stoke City.
Kuyt admitted: "In all my time as a Liverpool player I have been close to winning trophies. There was the Champions League final, the semi-final and also coming second in the Premier League.
"We know we have the squad to do well. Not being involved in Europe this season is a major blow so the Carling Cup is a great trophy to win because we're all desperate for silverware."