It's unclear when contract talks will commence, though it's believed they won't begin until training camp, at the earliest.
In 42 games with the Habs this past season, Subban registered 11 goals and 27 assists for 38 points, along with a plus-12 rating and 57 penalty minutes, upon which he collected the first Norris Trophy, as the NHL's best defenseman, of his young career.
The Toronto native could command a long-term deal, at a maximum of eight-years, with the Canadiens, worth more than $7 million, per season.
Goaltender Carey Price is currently Montreal's highest-paid player, with a salary cap hit of $6.5 million, though he's scheduled to make $6.75 million in 2014-15 and $7 million per year in the final three years of his contract, which expires after the 2017-18 season.
Subban is poised to pass those figures and earn more on his next contract, though a source close to the organization told TFP neither side is in a rush to get a deal done.
In 202 career NHL regular-season games over his first three seasons in the NHL, Subban has accumulated 32 goals and 82 assists for 114 points and 302 penalty minutes.
He was drafted by the Habs in the second-round (43rd overall) of the 2007 NHL Entry Draft.