The 30-year-old’s current contract is set to expire at the end of next season.
“My contract has one more season to go after this but there are things happening,” said Kuyt in The People.
“We have had some talks and I can only say it looks positive.
“I feel at home in Liverpool and I don’t want to leave here.
“It has been a difficult time for everyone at the club with the changes that have happened since last summer but now I can sense something good is happening – I think Liverpool are on the way back.”
