Boeser has one season remaining on his three-year, entry-level contract. Selected by Vancouver in the first round (No. 23) of the 2015 NHL Draft, he has 60 points (33 goals, 27 assists) in 71 NHL games.
"We haven't got down to talking term," Canucks general manager Jim Benning told the newspaper Tuesday. "We plan to circle back and I'm not sure where it's going to go, but we want to see if we can get somewhere. There's no time frame on it.
"Brock is going to see the best matchup line and best defensive pair, but I don't expect a drop-off [this season]. He has pushed himself hard to pick up where he left off and there are other contracts coming up in the League in the next six months that could drive up the price. I understand that part of it. But it has to make sense for everybody."
Benning said he and Boeser's agent, Ben Hankinson, plan to talk again next week.