The basketball star, who owns a stake in Liverpool, wants to bring a new soccer franchise to the Floridian city in tandem with the recently retired former England captain
The former England captain, who had the option to purchase a team included in his contract when he signed for Los Angeles Galaxy in 2007, met with league chiefs in October, with the Floridian city raised as a likely destination.
James already has a stake in Premier League side Liverpool and revealed that he is keen to help Beckham with his ambitions.
"There's some interest in both sides," the basketball icon told ESPN.
"David has become a good friend of mine over the last few years and I think it would be great for this city to have a football club, for sure."
The two-time NBA champion admitted that discussions are still at a preliminary stage but is confident that the project can be a success.
"The research is still being made out but I think it can be huge," James enthused.
"I think this is a great town for soccer. There are a lot of soccer players here. There is a lot of great youth soccer here."
Miami's last MLS franchise folded in 2002, when Miami Fusion were withdrawn from the league after just four seasons.