The BBC has previously apologised to Trump over the Panorama edit, but rejected his demands for compensation and disagreed there was a basis for a defamation and trade practices claim.
The president is seeking up to $10bn (£7.5bn) damages in relation to the editing of his speech, which his lawyers have claimed was “false and defamatory”.
The corporation is expected to file a motion to dismiss the case in the coming weeks, claiming the Florida court lacks “personal jurisdiction” over it, that the court venue is “improper”, and that Trump has “failed to state a claim”, according to court documents.
Last month, the BBC asked the court to stay the process of discovery, where each side provides the other with relevant documents and evidence.
On Wednesday, the judge denied that request, giving reasons including that the application was “premature”.