The office of Turcotte's murder trial judge, André Vincent, confirmed to CBC Radio-Canada that defence attorney Pierre Poupart has filed a request to have Turcotte released.
The request will be heard at the St-Jérôme courthouse on Sept. 3.
Turcotte, who admitted to killing his children, was found not criminally responsible because of a mental disorder at his 2011 trial. His lawyer Pierre Poupart argued he had been suffering from mental difficulties stemming from his troubled marriage to now-ex-wife Isabelle Gaston.
Turcotte spent 18 months at the Pinel Institute in Montreal before being released in December 2012.
The Supreme Court of Canada in March denied Turcotte's request to have a Quebec court decision ordering a new trial overturned.
His second murder trial is expected to begin in September 2015.