The couple are planning to return to the UK with their four children, Brooklyn, 13, Romeo, 10, Cruz, seven, and 17-month-old Harper, later this year.
But after looking to buy properties in the upmarket areas of Mayfair, Kensington and Holland Park, the pair have decided not to make such a big purchase while David's soccer career is still uncertain, reported Sun Online.
"David still has a big interest in Major League Soccer and they both loved living in LA, so they decided it wasn't time to pay out on another hugely expensive property," a source said.
David - who has been linked with clubs in the UK, France and China following his announcement that he is leaving current side Los Angeles Galaxy - and Victoria recently enrolled their sons into a 15,000 pound-a-year school in London.
