They wouldn't be selling off their Hertfordshire mansion - known as Beckingham Palace - but want a second home for when Becks, 34, ends the US Major League season with LA Galaxy in Nov.
They are even looking for schools for sons Brooklyn, ten, Romeo, six, and four-year-old Cruz.
"Victoria and David have business interests in London and want somewhere more convenient than Hertfordshire," the Sun quoted a family friend as saying.
Meanwhile, the family is enjoying their vacation in Nice, French Riviera as Posh recovers from a boob job.
Their search is likely to spark further speculation about David's career plans.
He is due back at LA Galaxy next month after a six-month loan to AC Milan.