The announcement came just minutes after the Rocket's 5-4 win over the Utica Comets at Place Bell.
The 26-year-old left-winger has three goals and five points in 14 games for Sylvain Lefebvre's squad so far this season, along with a plus-6 differential and 16 penalty minutes.
The Canadiens acquired his services in a trade with the Buffalo Sabres back on October 4.
A native of LaSalle, QC, Deslauriers has 12 goals and 30 points in 211 career NHL games, all with Buffalo.
He was a third-round selection of the Los Angeles Kings, 84th overall, back in 2009.
On Tuesday night, the Canadiens announced that forward Artturi Lehkonen was sidelined indefinitely with a lower-body injury.