The former England international asked for an option to own an MLS club when he originally signed for Los Angeles Galaxy in 2007.
New teams being formed in Miami and New York are said to be hopeful of joining forces with Beckham for when they become full MLS members by 2016, reports BBC News.
Beckham played his final game for Los Angeles Galaxy on Saturday, winning his second successive MLS Cup over Houston.
Investment groups from the Middle East are also said to be interested in working with Beckham over a potential MLS franchise ownership deal.
He has said that he is looking for "one final challenge" at another team before retiring from the game.
Paris St Germain and AS Monaco are among the teams who have expressed interest in signing Beckham.
However, Beckham denied any knowledge of Monaco's interest last week and dismissed talks of a transfer to a second-tier French team.
David Beckham has also revealed plans to open up a restaurant with Gordon Ramsay in London.