 Nyorai mberi kweiyi ndima - Musi wa 21 Chikumi 2011, Conway akasimbisa kuti akabvumirana nemitemo neCardiff City uye kuti aizove nechiremba mukati memazuva mashoma anotevera. Conway akapedza kufamba kwake uye akasaina chibvumirano chemakore matatu neBluebirds musi wa 23 June 2011. Akaita kutanga kwake mukukunda 10 pamusoro peWest Ham United pazuva rekutanga remwaka weChampionship. Conway akarova chibodzwa chake chekutanga kuCardiff mumutambo unotevera vachipesana neOxford United muFootball League Cup. Akazotevera chinangwa chake kurwisa Oxford nechimwe chinangwa kurwisa Bristol City muligi mazuva mana chete gare gare. Yechitatu yaConway yakauya sechibvumirano chekukunda kuHuddersfield Town, kuisa Bluebirds kuburikidza nekutenderera kwechitatu kweLigi Cup. Akaita mutambo wake we250th mumutambo weCrystal Palace musi wa5 Mbudzi. Conway akanga ari mutsivi asina kushandiswa paWembley muLigi Cup Final. Muna Kubvumbi 2012, Conway akasarudzwa kumutambo wakanangana neWatford, asi akabviswa nemaminetsi makumi matatu nemaviri achitamba zvichitevera tackle yakaitwa naJonathan Hogg, izvo zvakakonzera kukuvara kwegumbo uye zvakapedza mwaka wake, mitambo mina pamberi. 