But the Sunday Mirror says privately Beckham's advisers have ruled out any switch to a club that is not competing for major honours, leaving Tottenham in pole position to sign him.
And the fact that Becks now accepts he can't be guaranteed a first team place can encourage an approach from Spurs.
Spurs boss Harry Redknapp said: "David's a fantastic player and a great influence in and around the club. He's someone that I have always admired and is a great role model.
"I would take him, for sure but my dilemma is being able to guarantee him first-team football.
"I have an abundance of talent in midfield so it's difficult to work out how and when I can play him."