Shaw was placed on waivers by the Jets on Thursday, Mitchell Clinton of the Jets' official site reports.
Shaw signed a one-year, two-way contract with the Jets on Wednesday, Darren Dreger of TSN reports.
Shaw scored a goal on his lone shot in Tuesday's 3-2 win over the Senators.
Shaw signed a one-year, two-way contract Thursday.
Shaw (knee) wasn't qualified Friday and will become an unrestricted free agent, Jessi Pierce of NHL.com reports.
Shaw (knee) will miss the rest of the regular season and the playoffs, Dane Mizutani of the St. Paul Pioneer Press reports.
Shaw (suspension) will return to the lineup against St. Louis on Saturday, Michael Russo of The Athletic reports.
Shaw received a two-game suspension for kneeing Evgeny Svechnikov on Thursday.
Shaw will have a hearing with the NHL Department of Player Safety for kneeing Evgeny Svechnikov on Thursday.
Shaw scored a goal and registered an assist in Minnesota's 5-3 loss to Calgary on Wednesday.