The Independent report Silva will sign a marquee deal with the Beckham-led franchise, who will enter the MLS in time for the 2020 season.
Silva's potential Premier League departure comes after the 33-year-old agreed to a year-long extension on his current City deal this past pre-season.
And while the Spaniard insists he would never play for another English team, the promise surrounding Miami could prove an opportunity too good to pass up.
Beckham, a part owner of the club, is determined to add several Spanish-speaking players in order to boost interest among Florida's Hispanic community.
A marquee signing himself at the LA Galaxy back in 2007, Beckham sees Silva as the perfect household name to build from, with Barcelona's Lionel Messi and Luis Suarez the club's other reported targets.
Having signed for City in 2010, Silva has since helped the Citizens to four league titles, two FA Cups and four League Cups, and has also lifted the FIFA World Cup and European Championship with Spain.