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,
But whilst Kuyt admits he is not pleased with the situation, he will continue to push for a starting slot.
"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 win 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."
Kuyt, who was the target for Inter Milan over the summer, insists having such a competitive squad can only be a good thing for the club.
"When I first arrived here we had a very good, big squad but for the last two seasons before this one, we haven't had the depth that we did in the first three seasons," he continued.
"Someone like Craig Bellamy is a strong addition to what is already a very strong squad, and that can only be good for the team. We definitely have better quality now and more players to choose from as well. I think with the signings we've made, we have a great squad now so we should be ambitious and have confidence in ourselves."