Burnett has declined to comment on Trump and a representative for MGM and its CEO Gary Barber did not respond to a request for comment.
Another industry insider, Chris Nee, an Irish American children's television producer, said she was made to sign a contract with Mark Burnett to stop the leak of the tapes, on penalty of a $5 million "leak fee".
Trump's presidential campaign has been rocked by leaked footage from an episode of Access Hollywood, in which he brags about sexually assaulting women.
All he wants in return is the unaired Trump tapes.
Pandemonium ensued when a producer from The Apprentice tweeted Sunday that there are "far worse" things Trump has said that's been picked up on a hot mic-like the n-word-and reporters scrambled to find a way to get their hands on behind-the-scenes footage of the material.
"NBC had tape 11 yrs. Apprentice producer says they have more & worse".
Such an event would seem unlikely but Cuban pulled no punches in the wake of the Trump tape scandal, taking to Twitter to denounce the real estate mogul and his staff.
In the leaked tape from 2005, Trump tells former Access Hollywood host Billy Bush that he tried to "move" on Bush's then-cohost Nancy O'Dell.
Another crew member, who was not identified in the report because of a non-disclosure agreement, recalled one instance when Trump talked with male contestants about wanting to sleep with a female contestant while the group stood in front of the female in question.
The former reality TV star, still reeling from the emergence of footage where he makes extremely lewd and sexist comments about women, allegedly made the comment while filming The Apprentice.
The footage, which was filmed in 2005, included Trump boasting about how his celebrity status allows him to grope women with impunity. This is a stack of unverified claims and assumptions that we're reluctant to place much weight on at all.
In October 1973, the Justice Department filed a civil rights case that accused Trump Management, headed by then 27-year-old Donald Trump, and his father, Fred Trump, of "discriminating against black persons in the operation of their buildings".
If David Brock doesn't pay the $5M legal fee for the Trump tapes, billionaire Mark Cuban states he will fork over the cash.
Hours later, his campaign released a video statement apologizing for the remarks themselves and promising to be a "better man".