TSN reports the one-year, two-way deal is worth $700,000 in the NHL, $105,000 in the AHL.
Meech, 28, played two games for the Jets last season as he recovered from an injury. He also played six regular-season games in the American Hockey League with the St. John’s IceCaps, and 15 postseason games, scoring nine points (four goals, five assists) in the Calder Cup playoffs.
He has played in 128 career NHL games with the Detroit Red Wings and Winnipeg.
The Jets also signed forward Jason King, 30, to a contract with the IceCaps.