Hayes, 27, was acquired by the Jets from the New York Rangers on February 25 in exchange for Brendan Lemieux and Winnipeg’s first-round pick in the 2019 NHL Draft.
The Dorchester, Mass. native played in 20 games for the Jets and recorded 13 points (5G, 8A) and added three points (2G, 1A) in six playoff games.
Hayes is scheduled to become an unrestricted free agent on July 1.
The draft begins June 21 in Vancouver.