Kuyt has become increasingly marginialsed this season at Anfield and has been ousted from his make-shift position on the right wing by Jordan Henderson of late.
However while he had reportedly planned to return to Feyenoord at the end of his career his Anfield exit appears to have been hastened by a lack of football this term.
The 31-year-old has attracted interest from the Bundesliga but is said to favour a move back to his former club where he was top scorer for three consecutive seasons before his switch to Liverpool.
Now The Sun report that he could leave in the summer after the Eredivisie club offered to make him the club’s highest earner if he signs on the dotted line at the end of the season, while the it is also claimed that the deal is a one off and won’t be on the table again.
Kuyt has reportedly been told he can leave Liverpool at the end of the season after seeing his first-team options dry up, while he reportedly has a release clause in his contract that will allow him to leave Anfield for £1 million if a bid arrives from a foreign club.
The 31-year-old joined the club in 2006 for a fee of around £9 million, and has gone on to make over 200 league appearances for the Reds.
Former team-mate and current Chelsea player Salomon Kalou also revealed that Kuyt was keen on moving back to the De Kuip stadium in the summer.
"Dirk told me he wants to return now," said Kalou on Dutch TV. "Dirk said to me that I also must come, that we both have to return to Feyenoord.
"For me Feyenoord is No. 1. I want to stay at Chelsea another few years. After that Feyenoord is an option."