TJ – who is the son of Tito Jackson – and his grandmother Katherine are currently sharing guardianship of Paris, Prince and Blanket until a new court hearing on August 22.
The children's biological mother Rowe has now claimed she will support the new ruling as long as the health and wellbeing of the children are adequately cared for.
Rowe said in court documents obtained by TMZ: "Should the arrangement sought by TJ Jackson and Katherine Jackson become untenable, unstable, unsafe, or in any way contrary to the best interests of the children, Ms Rowe will seek court intervention."
Katherine was previously the sole caregiver for the children following her son Michael's death in 2009.
The arrangement was changed in July after Katherine controversially left her California residence for a short time.
> Katherine Jackson 'won't press charges over Arizona trip'