Judge Colleen Maier has put off the decision twice before.
Lawyers for 17-year-old Dante Robinson and 15-year-old Justin Robinson are contending that there are reasons to keep the proceedings in family court sealed. The two are charged with the murder in October of Autumn Pasquale.
The entire community of Clayton joined a search for her after she disappeared on her bicycle.
Several news organizations, including The Associated Press, say the hearings should be made public because there's so much public interest in the case.
The Gloucester County Prosecutor's Office is asking to have the case moved to adult criminal court.