Rubuta ci gaba don wannan sakin layi - A ranar 26 ga Fabrairu, 2018, a shekarar karshe ta kwantiraginsa, an yi musayar Stastny zuwa Winnipeg Jets a musayar Erik Foley, zagaye na farko na zagaye na farko a 2018
, da kuma zagaye na huɗu na zagaye na huɗu a cikin 2020. A farkonsa na Jets, Stastny ya taka leda a layi tare da Patrik Laine da Nikolaj Ehlers. Ya zira kwallaye guda daya kuma ya taimaka a cikin rashin nasara 6 zuwa 5 ga Nashville Predators. Stastny yana da mafi kyawun wasan wasan kwaikwayo na aikinsa tare da Jets, yana da maki 15 a wasanni 17 na wasan kwaikwayo. Ya bayyana a wasan karshe na biyu tare da Jets, a karshe ya rasa a wasanni biyar zuwa Vegas Golden Knights.