The 31-year-old forward has slipped down the pecking order under Kenny Dalglish with the likes of Luis Suarez and Jordan Henderson blocking his path in both the attack and midfield departments.
"I'm disappointed to be out of the team," said Kuyt, who was on the bench for the weekend win over Wolves after starting and scoring in the Carling Cup success over Brighton.
"From childhood, I've always been disappointed when I'm not in the team because I'm desperate to be involved and make a good contribution.
"But it also makes me very determined too. I need to continue to prove myself, train as hard as possible and, when I do play, make sure my performance is of a high standard.
"Competition is tough now but it's brilliant for the club that there are so many players to choose from now, top-class international players. The players realise at the end of the day you need more than 11 good players to be successful."