Last October, her lawyers agreed to send a copy of the settlement to Prince Andrew's lawyers. The duke's legal team have been fighting to make the settlement secret.
Prince Andrew has to date denied all allegations and has not been charged with any crimes.
His lawyer, Andrew Brettler, says the settlement will release the prince from any liability, due to the clause that he says stops Giuffre from being able to sue him.
However, her lawyer says the clause applied "at most" to people involved in underlying litigation in Florida and Prince Andrew should not use it as a "get out of jail free card".
The royal continues his fight to have lawsuits against him dismissed, with oral arguments on his request to dismiss the case scheduled to go ahead via video conference next week.
Giuffre's lawyers are said to have been preparing to file evidence demands, including requesting that the prince is asked to provide medical proof that he is unable to sweat, a claim he made in his infamous BBC interview in 2019.
Prince Andrew also said he could not have met the alleged victim the day she says he did because he was at a Pizza Express in Woking, Surrey. Giuffre's lawyers want to see proof of that Pizza Express visit.