"[Rebbie feels] Michael would spin in his grave if he knew his kids would be on this show," the source told Us.
While Janet Jackson reportedly has no problems with the kids' involvements, the source told Us that Jackson family matriarch Katherine -- who has custody of her late son's children -- "is just going along with things."
A&E began developing a one-hour special that would follow Randy, Jackie, Tito, Jermaine, Marlon and Michael Jackson as they prepared a new album and reunion tour earlier this year. It was reportedly intended to air as a "backdoor pilot" for a potential reality series.
In August, A&E announced that it had decided to turn it into a reality series, however no details or premiere date was given.
Regardless of Prince, Paris and Blanket's participation, executive producer Jodi Gomes said a majority of the Jackson family has a positive outlook on the series.
"We have 23 cast members with the last name Jackson,"Gomes told Us. "They've done a great job opening up about losing a brother."
Representatives for both the Jackson family and A&E refused to comment when asked about the participation of the children, The New York Postreported.
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