US District Judge Alison J. Nathan instructed defence lawyers and prosecutors to confer over the next week over Sternheim's request that the Brooklyn facility's warden directly address the concerns.
A spokesperson for prosecutors declined comment. A message for comment was sent to the Federal Bureau of Prisons spokespeople.
Maxwell, 58, has pleaded not guilty to charges that she procured three girls for Epstein to abuse in the mid-1990s. She has been held without bail while she prepares for a July trial.
On Monday, prosecutors notified the judge that Maxwell was put in quarantine last week for 14 days after someone who works in her area of the jail tested positive for the coronavirus. She may not meet with her defence team during that period.
In their letter, prosecutors said the 13 hours a day Maxwell gets to review trial materials on a laptop computer is more time than any other prisoner is allotted.
The reference bothered Sternheim, who said Maxwell faces burdens unmatched by other inmates and has been mistreated. She noted that the latest production of evidence by prosecutors was over one million documents and Maxwell lacked enough time to study the material.
She said Maxwell was initially quarantined without soap or a toothbrush and that medical and psychological staff stopped checking on her, failing to tell her the results of her Covid-19 tests or what to do if she becomes symptomatic.
Prosecutors said on Monday (Tuesday NZT) that her test result for the coronavirus was negative, and she will be tested again at the conclusion of her quarantine.
The lawyer said Maxwell is kept in what is, in effect, solitary confinement and she is excessively and invasively searched and monitored 24 hours a day, including camera surveillance in her cell and a camera following her movement whenever she is permitted to leave her cell.
"And despite non-stop in-cell camera surveillance, Ms Maxwell's sleep is disrupted every 15 minutes when she is awakened by a flashlight to ascertain whether she is breathing," she wrote.