While manager Rafael Benitez has been under fire, so have a string of under-achieving players - one of whom is striker Kuyt - the Dutchman without a goal since mid-December before his effort in the defeat by Barnsley.
Kuyt certainly understands the tensions of the current Liverpool situation.
"I think there is pressure on all of us, the players and the manager," he said.
"Everybody was expecting a lot from Liverpool this season, but unfortunately we have not played that well the last few months.
"But at least we have shown that we are a better team (against Inter) than last Saturday (against Barnsley)."
Kuyt knows, however, more progress is needed.
"We know we have to keep focused now - because we want to play many more good games, not only in the Champions League but also in the league," he added.
If Benitez is to continue to ease the pressure on himself he must steer a winning course through the tough and important fixtures still looming.
"If you can beat teams like Inter Milan and play well, it gives us a high level of confidence in the squad," he said.
"Now we have another important league game at the weekend at home to Middlesbrough. What we need to be is more consistent now."