 Nyorai mberi kweiyi ndima - Muna 2001, Norris akawana imwe menduru yebronze pa2001 FINA World ChampionshipsmuFukuoka, Japan, panguva ino mumakwikwi emamita 200 ega ega, uye muna 2002 akawana menduru yegoridhe katatu mumakwikwi emamita 200 nemamita 400 ega ega uye mumakwikwi emamita 200 ari mu butterfly pamakwikwi eCommonwealth Games muna 2002 muManchester. Zvisinei, muna 2003, haana kubudirira mumitambo yake mitatu, akakundikana kuwana menduru pa2003 FINA World Championships muBarcelona, Spain. Akatoita zvakatoipisisa paMitambo yeOlympic yeZhizha ya2004 muAthens, achitadza kusvika kumagumo. 