"I've had some preliminary discussions with Stan," Brisson said by phone Wednesday. "We are talking about it right now. That's pretty much it for now. I have not explored deep enough yet to get a sense [whether we can work something out]. I will have more discussions with Stan in the future."
Shaw, 24, is set to become a restricted free agent this summer when his two-year, $4 million deal expires. He had 14 goals and 20 assists this season, and he added a team-high six points and four goals in six playoff games.
Whether or not the Hawks can re-sign Shaw and for how much will depend on how much salary cap space Bowman is able to create. The Hawks have $69 million committed to players for next season and the league's salary cap ceiling is expected to be around $74 million.
Bowman could make Shaw a $2.5 million qualify offer and have him wait until 2017 for a raise like they did with Marcus Kruger.