The supercouple are looking to set up digs in the affluent Bel Air section of town -- home to many of Hollywood's biggest stars and moguls.
While David currently plays for Real Madrid, earlier this month he resigned as captain of England's national team and is rumored to be in talks to join the Los Angeles Galaxy soccer team.
The move seems logical since David has already set up a branch of his youth soccer camp, The David Beckham Academy at Southern California's Home Depot Center. And since murmurs of a Spice Girls reunion never materialized, a move to L.A. might be the first step toward launching Victoria's Hollywood career.
So move over Brangelina, TomKat and Bennifer because Posh and Becks are ready for their closeup!
Paul Bloch, David and Victoria's American rep, denied the Beckhams were planning a U.S. move.