Rafa Benitez's men have already been beaten by Tottenham and Aston Villa, matching the number of defeats they suffered throughout last term in the opening four games of the new campaign.
Despite the season only being in its fledgling stages, some supporters and pundits have reacted with knee-jerk haste to already write off the Reds' ambitions of ending their 20-year wait for the league crown.
But Kuyt is confident that the battling qualities the Anfield outfit displayed in the 3-2 victory at Bolton last time out will stand them in good stead.
PositiveThe Dutchman told Sky Sports News: "Everybody knows we have already lost two times. That happens, it was very disappointing and was a bad start.
"But the way we beat Bolton where we came from behind two times gives us a much more positive feeling.
"I still believe we have a great chance. It's early in the season and the main thing is to focus on our own game and look forward to the next game.
"As long as we start winning our own games from this stage I am sure we will be up there."
Benitez has come under scrutiny for his relative lack of activity in the transfer market with right-back Glen Johnson, winger Alberto Aquilani and centre-back Sotirios Kyrgiakos the only new faces, while midfield talisman Xabi Alonso has left for Real Madrid.
Big signingsKuyt is happy with the club's business, even though Italy international Aquilani is still some way from full fitness.
He added: "I think we have two big signings. If you talk about Glen Johnson, last season he was one of the better players in the league.
"We have Aquilani as well. OK we have to wait a couple of weeks before he starts to play games, but with these two signings we have a great team.
"Xabi was a great player for Liverpool and had a great few seasons with the club. But in football, these things happen.
"Xabi wanted to go to Madrid, he had his transfer and at this stage you shake hands and say 'goodbye'."