The native of Gatineau, Quebec, has struggled this season, registering five goals and five assists for 10 points in 28 games so far, while battling concussion symptoms. He has also voiced his discontent with the coaching staff and management about the way he is being used, as he's seen little action on any of the Habs' top-two lines.
Canadiens GM Marc Bergevin has made it known to some teams that he would be willing to trade Briere, if the interest was there.
Briere, a two-time NHL All-Star, was expected to boost the Canadiens' offense this season, an area in which the team is desperately trying to improve.
Bergevin has been actively trying to acquire a top-six forward with some size and an eye for the net, but such a significant move might prove to be too difficult to complete mid-season.
The Habs have been linked to Winnipeg Jets sniper Evander Kane, and were rumored to have some interest in Colorado Avalanche center Paul Stastny, who is in the final year of his contract.
Briere, who has recently been a healthy scratch for the Habs, has a no-movement clause in his contract, but it's believed he would be willing to waive it under the right conditions.
It's unclear if the Canadiens have approached Briere about waiving his NMC.
In 876 career NHL regular-season games, to date, with the Phoenix Coyotes, Buffalo Sabres, Philadelphia Flyers and Canadiens, Briere has accumulated 291 goals and 378 assists for 669 points, along with 710 penalty minutes.
He was originally drafted 26th overall by the Coyotes in the 1996 NHL Entry Draft.