The news comes as Trump is facing questions about what business ties, if any, he will keep as he assumes the presidency and criticism that he could face conflicts of interest.
Trump has tweeted "I will be leaving my great business" and said he will details his plans later this month.
When asked about the "Celebrity Apprentice" role, Trump spokeswoman Hope Hicks said: "Mr. Trump has a big stake in the show and conceived of it with Mark Burnett."
"Additional details regarding his business interests will be shared December 15th," she added.
NBC referred questions to MGM.
"He will be tempted, consciously or otherwise, to favor NBC or use the White House to promote this source of revenue. It is one more example of why he must divest all his interests into a blind trust or the equivalent, with these broadcast-related rights monetized and sold to someone else,” Eisen wrote in email to ABC News.