A hearing on the requests will be held Monday.
Police intervened Jan. 3 when Spears refused to return the children to Federline after a court-monitored visit.
After a standoff, Spears, 26, was taken to a hospital in an ambulance that was chased by a crowd of photographers.
The next day, Commissioner Scott Gordon awarded sole legal and physical custody of 1-year-old Jayden James and 2-year-old Sean Preston to Federline and suspended Spears' visitation rights.
Spears left Cedars-Sinai Medical Center a day and half later.
According to the court order, Gordon denied a request from Spears' lawyers to close Thursday's hearing to the media.
Court spokesman Allan Parachini said it would be unusual if the attorneys did not move to close Monday's hearing to the media.
