Rubuta ci gaba don wannan sakin layi - Martin ya yi takarar Sanata don sabuwar kungiyar Jacqui Lambie Network (JLN) a zaben tarayya na 2016, na biyu a tikitin JLN a bayan wanda ya kafa jam'iyyar kuma Sanata Jacqui Lambie. Jam'iyyar ta sami isassun kuri'u don sake zabar Lambie. Koyaya, ta yi murabus a watan Nuwamba na 2017 yayin rikicin cancantar zama a majalisar.
bayan gano cewa tana da 'yan ƙasa biyu na Burtaniya da Ostiraliya kuma saboda haka ba ta cancanta ba a ƙarƙashin sashi na 44 na Kundin Tsarin Mulki na Ostiraliya. Saboda Lambie ya sami rashin cancanta daga Babban Kotun, Babban Kotun ya ba da umarnin a gudanar da ƙidayar baya don cike kujerar. Bayan kuri'un JLN sama da layin sun gudana zuwa Martin, an ayyana shi a matsayin wanda aka zaba. Kate McCulloch, 'yar takarar Sanata ta Tasmania da ba ta yi nasara ba a zaben tarayya na 2016 don One Nation, ta yi jayayya cewa Martin shima ba shi da cancanta a tsarin mulki saboda matsayin magajin garin ya zama "ofishin riba a ƙarƙashin Sarauta", amma Babban Kotun Ostiraliya ya ƙi wannan ƙalubalen kuma ya tabbatar da cancantar Martin a ranar 6 ga Fabrairu 2018.