tChoice, a group that promotes free expression on the internet, testified against the legislation last month.
Donald Trump was banned by Twitter and suspend by Facebook and YouTube after the deadly Capitol Hill riots in January.
Since leaving office, Donald Trump has spent much of his time in Florida and is believed to be close with Mr DeSantis, as well as other high-ranking Florida Republicans.
However, critics say the law could have unintended consequences.
Last month, Steve DelBianco, NetChoice’s chief executive, said while testifying against the bill: “Imagine if the government required a church to allow user-created comments or third-party advertisements promoting abortion on its social media page.”
“Just as that would violate the First Amendment [guaranteeing the right to free speech], so too does [this bill] since it would similarly force social media platforms to host content they otherwise would not allow.”