The 24-year-old is a pending restricted free agent and has been drawing trade interest around the league, according to Sportsnet's Elliotte Friedman.
"He's a really talented player," Friedman said during the Headlines segment on Hockey Night in Canada. "He had 20 points in 43 games this year, played very well for them and their Stanley Cup run a couple of years ago."
Dunn missed time this season with an upper-body injury and was unable to return for the Blues in the playoffs. The Lindsay, Ont., native is coming off a one-year, $1.875 million deal.
With the upcoming expansion draft, St. Louis will likely make it a priority to protect defencemen like Justin Faulk, Torey Krug and Colton Parayko. This means the Blues could look to get assets in return for Dunn to avoid losing him to the Seattle Kraken.
"There was a time during the year where the Blues were thinking about maybe moving him and they were asking for a first-round pick in return," Friedman said.