The Russian star doesn't know how much longer he will lace up the skates, but is certain he'd like to keep going as a member of the Canadiens.
"It's not only my decision, (but) also management, the organization," Markov told the Montreal Gazette. "We'll see what's going to happen.
"Maybe I'm going to sign another contract tomorrow. Maybe in another month. We'll see. I'd like to stay here for the rest of my career. You can see some players in their 40s who still play. I don't want to think that far. Whatever is going to happen tomorrow will happen tomorrow."
The Gazette reports preliminary talks have begun between Habs GM Marc Bergevin and Markov, who is representing himself.
"Marc is interested to talk to me but there's nothing specific now," Markov said. "There is nothing I can say right now."
Markov is making $5.75 million this season and the Gazette hints he could sign for a similar annual salary for a term between three-to-five years.
In 46 games with the Canadiens so far this season, Markov has registered five goals and 19 assists for 24 points.