The judge ordered the court to have the documents ready within a week.
They could also heap pressure on Prince Andrew because one of the documents includes communications between Maxwell and Epstein from January 2015, when Virginia Roberts, an alleged sex slave of the shamed USA financier, claimed in court papers that she was forced to have sex with the Prince on three occasions.
All of the documents related to a seven-hour, 418-page deposition that Maxwell gave to investigators in 2015 when she was sued for defamation by Virginia Roberts, Epstein's primary accuser.
Maxwell's lawyers filed an affidavit in her child sex trafficking case on Monday (US time), asking a NY judge to prevent prosecution witnesses from publishing information about the case online.
Last night, a source close to Andrew said: 'The Duke of York has done nothing wrong, so we are relaxed about the unsealing of any court documents.
"The highly confidential information contains nude, partially-nude, or otherwise sexualised images, videos, or other depictions of individuals", which Maxwell doesn't want to be "disseminated, transmitted, or otherwise copied", the appeal read.
While the case has been settled before it reached trial in 2017, it is said that 900 out of 2,000 pages of evidence remain sealed or redacted.
Giuffre has alleged that she was forced into sexual encounters with the prince while she was underage. She denies all the allegations.
The New York and Florida pads once owned by disgraced billionaire Jeffrey Epstein have hit the property market for a combined $100 million (£78 million).
Judge Nathan had already slapped down a request from Maxwell's lawyers to bar prosecutors from speaking to the media about the case.
Among the original documents which were unsealed in 2018 was the eye witness account of Epstein's former maintenance worker and butler, Juan Alessi.
'She had an album full of photographs of people, young girls, ' he said in the 2016 deposition.
"I couldn't see all of Andrew, so I don't know if he was clothed or not". Like a hobby. It was some girls were topless [sic], taking the sun'. Other documents include emails and depositions by others, including Giuffre and anonymous women who also claim to have been abused by Epstein.
The lawyers say attorneys for women who claim Maxwell recruited them for Jeffrey Epstein and abused them should be subject to the same secrecy rules as prosecutors and Maxwell's defence lawyers.