The 27-year-old defenceman is a pending unrestricted free agent at the end of this season.
He has six goals and 20 assists in 59 games this season for the Blackhawks, his fourth with the team.
Originally drafted by the Edmonton Oilers, Gustafsson signed as a free agent with Chicago in 2015.
NHL teams have until Monday at 3 p.m. ET to make trades.