No, he's a UFA in 2.5 years. Hughes brothers also play for a team that likely doesn't have the cap to sign him in 1.5 years. You think NJD GM is going to look at the rising cap and say "I'll sit tight for Quinn and not try to better this team to win a cup."?
Luke will be looking at 8+, they will spend to the cap this offseason. Quinns UFA offseason won't rise 13m+ to sign him, all their big contracts will still be in effect and they aren't going to start buying people out in hopes to sign him.
if Vancouver is competing, Quinn will stay. If they aren't, We will trade him in what will be the biggest trade in the last 15-25 years and rebuild.