The 25-year-old is seeking a long-term contract, in the neighborhood of seven or eight years, which the Canadiens are willing to give him, but the financial commitment he is believed to be looking for may pose a concern for Montreal.
"I'm sure everybody in hockey wants a long-term contract, but for me, it's not just about that," Subban told the media on Saturday. "It's about being part of a team that can win a championship, and I believe we have that in this dressing room."
Subban added that he will let his agents, Don Meehan and Mark Guy, handle contract negotiations.
"That's why we pay him," he said. "That's his job and I'll let him do his job. I've done mine, and he'll do his."
Canadiens GM Marc Bergevin and Subban's agents spoke briefly throughout the season, but negotiations never entered a serious state.
It has been widely speculated that Subban will be looking for a deal worth around $8.5 million, per season.