According to new reports, Posh has pushed for the move after becoming homesick for California.
They have been living in London since David left LA Galaxy to play for Paris Saint Germain, but now the footballer has announced his retirement, they could return to the US for good.
"Vic misses LA terribly but the boys are settled in school in London so they may stay a while," a source told The Sun.
The report added that Major League Soccer bosses are hoping to lure David back to launch a new team.
Since leaving the UK, the family have made regular trips back to the States, and are currently there while their children, Brooklyn, Cruz, Romeo and Harper, are on UK half-term.
However mum and dad were nowhere to be seen when the kids were seen out in LA on Sunday.
Instead their hairstylist, Becks-look-a-like Ken Paves, was on minding duties as they stepped out in Brentwood.
We certainly did a double take!