David and Victoria Beckham are reportedly considering an offer to star in their own reality TV show in the U.S. The series reportedly being modeled after “The Osbournes,” which featured rocker Ozzy Osbourne and his family.

The pair, who are due to move to Los Angeles later this year, are said to be considering the offer from Fox TV network.

A source tells People magazine that the show, tentatively titled “Living With the Beckhams,” would give ...