Lawyers for the defendant in the Aurora theater shooting case want jury selection closed to the public and press.
James Holmes' attorneys said at a hearing on Thursday that potential jurors could be harassed if their answers to questions are made public.
Prosecutors agreed that the individual questioning of prospective jurors should be closed so no members of the pool would learn in advance what they will be asked.
However, prosecutors want the final step kept open, when 12 jurors and 12 alternates are chosen.
Media organizations plan to file an objection over the move to close any of the process.
Holmes has pleaded not guilty by reason of insanity to killing 12 people and injuring 70 in the 2012 attack.