The results of a psychiatric assessment of Bourque, 24, are expected to be presented to the court.
Bourque was ordered earlier this month to undergo a 30-day assessment to determine if he is fit to stand trial and whether he was suffering from a mental disorder at the time of the alleged offences that would exempt him from criminal responsibility.
Bourque is charged with three counts of first-degree murder and two counts of attempted murder in connection with the June 4 shootings in the southeastern New Brunswick city. He has not entered any pleas.
During his last court appearance, an affidavit filed from his father, Victor Bourque, stated that his son had been gripped by "paranoia" in the days before the alleged shooting spree.
The affidavit was in support of a request by veteran defence lawyer David Lutz to have Justin Bourque undergo a psychiatric assessment.
Bourque was arrested just after midnight on June 6, following a two-day manhunt that involved hundreds of police officers from across the country and caused a lockdown of much of the city.
Police found him when they responded to a complaint of someone being in a backyard.
The Crown prosecutors handling the case are Cameron Gunn and P.J. Veniot.
Judge Irwin Lampert is presiding.
The RCMP officers who were killed on June 4 were:- Const. Douglas James Larche, 40, from Saint John.
- Const. Dave Joseph Ross, 32, from Victoriaville, Que.
- Const. Fabrice Georges Gevaudan, 45, originally from Boulogne-Billancourt, France.
Constables Éric Stéphane J. Dubois and Marie Darlene Goguen were wounded.