Labossiere's hearing before the Court of Appeal in Winnipeg will be streamed live at cbc.ca/manitoba starting at 9:30 a.m. CT.
A jury found Labossiere guilty in 2012 of three counts of first-degree murder in the deaths of his parents, Fernand and Rita Labossiere, and his brother, Remi.
The bodies of the three Labossiere family members were found in the basement of their farm house in St. Leon after a fire in November 2005.
It was later determined they had been shot in an apparent dispute over the family farm.
Cameras were allowed inside Manitoba's courtrooms for the very first time earlier this month, when the Court of Queen's Bench acquitted Cassandra Knott on a murder charge.
The televised hearings are part of a pilot project launched by the Manitoba Law Courts in an effort to make the court process more accessible to the public.
In the past, print and broadcast journalists have had to rely on sketches and interviews outside the courthouse to illustrate what happened at trials and hearings.
For the two sessions, CBC is providing other media outlets with live audio and video feeds.