With respect to the condition, if the Kings make the playoffs then the Canadiens receive their own fourth-round pick in 2018 back - which was traded away in the Dwight King deal at the trade deadline last season - instead of Los Angeles' fifth-round pick in 2018.
A native of Greenfield Park, QC, Mitchell, 32, joined the Canadiens during the 2014-15 season.
He suited up for 174 games with his hometown team, scoring 19 goals and adding 18 assists.
Mitchell has played 617 games over the course of his NHL career, with the San Jose Sharks, Minnesota Wild, Buffalo Sabres and the Canadiens, amassing 61 goals and 141 points.
