The Sunday Mirror reports that Beckham is close to signing a contract with Qatari-owned Paris St Germain.
Victoria Beckham will visit Paris in the next few weeks to look at apartments to rent.
David’s current contract with Los Angeles Galaxy is set to expire and the former England midfielder could join PSG on a free transfer.
PSG have reportedly made Beckham a multi-million pound contract offer.
A source close to the family told The Sunday Mirror: “David may be coming towards the end of his career but he is still so dedicated to the game and he’s desperate to go out on a high.
“PSG could provide him with the perfect opportunity to do that.
“It will also keep him in the mind of the Olympic Team GB football selectors. Being selected is a major priority for him.
“He was there in Singapore with Lord Coe and Tony Blair when we won the bid in 2005 so he feels playing in the tournament would bring him full circle and be a suitable ending to what has been a fantastic career.”
The source added: “David, Victoria and the kids absolutely love living in LA but after nearly five years of running around in Hollywood and Malibu they feel this could be the perfect time for a change of pace. They want to stay in the States long term but an 18-month period living in Paris is attractive on so many levels.
“Victoria has always liked the idea of living there and now she is heavily involved in the fashion industry she loves the idea of being surrounded by so many creative influences in the fashion capital of the world.
“Both her and David also agree they’d like the boys to experience a culture away from the slightly surreal world of Hollywood. Paris would allow them to learn another language and meet a completely different type of person. They feel it would broaden their horizons.
“And of course, David would get one more stint in a top league, competing for major honours both domestically and in Europe.
“If he moved to Paris St Germain he will have played at the very pinnacle of leagues in England, Spain, the US, Italy and France which is a fantastic achievement.”