Eriksson wants to bring in the LA Galaxy star on a loan spell, during the MLS off-season.
Beckham has returned form the Achilles tendon injury that he picked up while on loan at AC Milan last season.
Eriksson and Beckham remain friends after thier time together with the England national team.
A source close to Eriksson told The People: “Sven thinks he has a chance and he is a very smooth operator when it comes to these things.”