The video featured is from a previous report.
Maxwell's attorney told a federal judge on Wednesday that she would no longer object to their identities being revealed, CNN reported.
The men are listed as "John Does" in a 2015 civil lawsuit brought against Maxwell by Prince Andrew accuser Virginia Giuffre.
RELATED: Maxwell, Epstein were 'partners in crime,' prosecutor says
Giuffre's allegations imply that the men were involved in Epstein's sexual abuse of minor girls between 1994 and 2004.
Although Epstein is reputed to have had many rich and powerful friends, none have been specifically implicated in court.
The final decision on releasing their names is up to Federal Judge Loretta Preska.
The letter was written the same day another federal judge allowed Giuffre's case to move forward against Prince Andrew.