Kuyt was reported this morning to be signing a new contract this week.
But Rob Jansen said: "I do not know where this came from and it is not true.
"We know that we are in talks with the club and Dirk is happy at Liverpool and wants to stay. The discussions up until now I've had with the club have been done in a friendly atmosphere. But we certainly have no agreement.
"This week we will continue talks in Liverpool.''