Nyorai kupfuurira kweiyi ndima - Mushure mekurwisana neCubs closer José Veras pakutanga kwemwaka wa2014, Rondón akatumidzwa zita idzva reCubs closer. Akanga ane mwaka wa2014 waakabudirira zvikuru. Akawana kuchengetedza kaviri mu2015 National League Division Series vachipesana neSt. Louis Cardinals, kusanganisira kuchengetedza mumutambo-unobata mutambo 4. Nekuwedzerwa kwaAroldis Chapman mukupera kwaJuly 2016, Rondon akaendeswa kunzvimbo yekugadzirisa mu bullpen. Rondon akapedza 2016 aine 2-3 rekodhi uye 3.53 ERA mumitambo makumi mashanu nemana. VaCubs vakakunda World Series ya2016
pamusoro peCleveland Indians, kupedza makore 108 ekusanaya kwemvura kweCubs. Akanga asiri-tendered uye akava akasununguka mumiririri musi waDecember 1, 2017.