Cormier has been charged with second-degree murder in the killing of Fontaine, 15, whose body was found wrapped in a bag in the Red River in August 2014.
The trial date has not yet been set, but it could start as early as this fall.
Global News, in collaboration with CBC, CTV and APTN, have applied to have cameras in the court room, meaning the trial would be live-streamed online with excerpts broadcast on radio and television.
A hearing on whether cameras will be allowed will begin June 12. Anyone wishing to intervene on the camera access application has until May 23 to file a brief with the courts.
If granted permission, this would be the first time in Canadian history that cameras would be allowed in the court room during a trial from opening arguments through to the verdict.
Originally from New Brunswick, police believe Raymond Cormier moved to Winnipeg in 2012. He was arrested in the Vancouver area in December, 2015, and brought back to Manitoba. Cormier denies the charges.
The application to have cameras in the courtroom follows the heels of the live-streamed guilty verdict of Andrea Giesbrecht in February, 2017.