Debbie gave birth to Michael Jackson's two elder children, Prince Michael, 12 and 11-year-old Paris Katherine, during their two-year marriage. She has also reportedly said she would consider raising his youngest, seven-year-old Prince Michael II, born to a surrogate mother.
After the news broke of her desire to seek custody, Debbie's lawyer said she was still considering her options, and had "not reached a final decision".
Lawyer Eric George did not challenge the accuracy of the NBC report, however. " I came to learn this morning that she shared some of her thoughts late last night with a local reporter," he said.
"I have no reason to doubt that what was reported from that conversation was accurately and ethically reported But that said, it would be a distortion of the truth to allow that single snapshot from a single conversation to stand in the truth of Debbie's position on these sensitive matters."
A custody hearing which was scheduled for Monday has been postponed until July 13 at the request of Debbie's team.
Fifty-year-old Debbie replenished parental rights after her divorce in 1999, but sought them again in 2003. An appeals court hearing then ruled there was an error in the petition she had filed to give Michael full custody, but the former couple settled out of court in 2006.
In his will, filed this week, there is nothing to suggest that Debbie would be guardian to his children, with Michael naming his mother Katherine Jackson and Diana Ross as a backup.