 Nyorai kuenderera mberi kweiyi ndima - Akatanga mwaka wa200001 ari pachinzvimbo cheNo. 32 pasi rose. Hann akagadzirira mushandirapamwe waiuya kupfurikidza nokuwedzera kurovedza kwake pamusha pake muMelbourne. Pamberi pacho Hann akagara kusvika kumagumo ekupedzisira eWorld 8-Ball Championship munaJune 2000. Hann akabviswa mumutambo wechipiri pamutambo weGrand Prix, uye akarohwa nevateereri nekupwanya bhora re cue muhomwe yepakati mumatanho matatu ekupedzisira emutambo wake naOSullivan. Akawana chirango chepamutemo che750 nokuda kwomufambiro usina unyanzvi nokuda kwokusaita. Hann akapwanya pfupa mutsoka yake pakusvetuka neparachute pamberi pe2000 UK Championship, uye aifanira kutamba asina shangu mumutambo, kwaakagara kusvika kumaquarter-fainari. Akasvikawo kumaquarter-fainari eThailand Masters asati arohwa naJohn Parrott. Hann akakwanisa kupinda muWorld Snooker Championship ya2001uye vakasarudzwa kuti vakwikwidzane naDave Harold ari nhamba 16 munyika yose munharaunda yokutanga. Mutambo wacho wakaona Hann achirasikirwa ne510 kuna Harold. 