The Mail on Sunday says Beckham is set to quit US football team LA Galaxy and may move to New York so his wife can pursue her fashion career.
But it is understood he and his wife Victoria, 38, are considering a move to New York with sons Brooklyn, 13, Romeo, ten, Cruz, seven and 16-month-old daughter Harper.
A source said: "Talks have begun about the next step for the family and New York is one of the options being talked about seriously.
"LA has given the family the outdoors lifestyle that they've loved for five years. But now the children are getting older and the couple both look to the future in their careers."
Last night their spokesman said: "Since David and Victoria landed in America there has been speculation they will leave, yet they still love living there. David's sole focus at the moment is winning another Championship."
Victoria's spokesman said: "Right now it's business as usual and the family are happy here in LA."