Kammala wannan jumla: Burnett ya fara sabon kakar wasa da karfi yayin da ya cancanci shiga gasar biyu na farko, Wuxi Classic da
Gasar Australian Goldfields Open. A Wuxi ya doke Neil Robertson 5<unk>1 a zagaye na farko, kafin ya yi rashin nasara ga Mark Davis 3<unk>5.&lt;ref name="2012/13"&gt;&lt;/ref&gt; A Ostiraliya Burnett ya doke lambar duniya ta Mark Selby 5<unk>3, amma sai ya fita daga gasar a zagaye na biyu bayan rashin nasara 1<unk>5 ga Marco Fu, tare da Burnett ya nuna rashin daidaito a wasansa. Duk da wannan sai ya kusan lashe taken sa na farko a Gdynia Open, wanda ya kasance wani ɓangare na jerin Wasannin Wasannin Wasanni, ta hanyar kaiwa wasan karshe inda ya fuskanci Neil Robertson. Ya kasance a baya 0<unk>3 a cikin mafi kyawun wasan kwaikwayo bakwai, amma ya dawo don daidaita wasan a 3<unk>3. Yanke shawara ya ɗauki minti 52 tare da Burnett ya rasa baƙar fata daga wurinsa tare da jan hagu ɗaya don rasa 3<unk>4. Duk da haka, gudu zuwa wasan karshe ya taimaka masa ya cancanci zuwa wasan karshe ta hanyar kammala 12th a kan PTC Order of Merit. A wasan karshe ya sake fuskantar Robertson kuma an sake doke shi, a wannan lokacin ta hanyar 2 × 4 scoreline. Burnett kuma ya cancanci zuwa gasar zakarun kasa da kasa, amma ya rasa 3<unk>6 ga Stephen Maguire a zagaye na farko. Daga Disamba 2012 har zuwa ƙarshen kakar wasa Burnett ba zai iya lashe wani wasa ba, wanda ya ƙare da rashin nasara 6<unk>10 ga Yu Delu a zagaye na uku na Gasar Cin Kofin Duniya. Ya ƙare kakar inda ya fara shi, a matsayin mai lamba 39 a duniya.