The reason the Reds are six points off of the Champions League places and 18 adrift of league leaders United is their woeful record against clubs currently below them.
"We want to win every game, we want to go on a run," he said.
"The aim for us is consistency. We have shown that we can compete with the best, but competing with the best is not enough to win things.
"We have beaten United, we have beaten Chelsea (twice) but we also want to beat the other teams as well.
"You need to win, with all respect, against the West Hams and the Wolves and the Blackpool’s.
"Everyone is working really hard every day to go forward, and hopefully we can show that West Ham (a 3-1 defeat) last week was a mistake and go on a run of winning games.
"That will be our motivation for the coming games.
"We all know getting into the top four will be really difficult, but Birmingham winning the Carling Cup means there will not be as many places in the Europa League for us to get, so we need to keep winning our games, and then we will see what happens."
And Kuyt believes the club can look forward to a brighter future.
"I think the owners (Fenway Sports Group) have shown by buying Suarez and Andy Carroll how positive they are," he added.
"The first thing the manager told us when he arrived (replacing Roy Hodgson in January) was that we had a lot of quality.
"And with the players who arrived in January and hopefully new players in the summer we have to compete with the best."