 Nyorai kuenderera mberi kweiyi ndima - Barmby aibatanidzwa mumwaka wakabudirira weLiverpool wa2000-01 mavakakunda mukombe weFA, mukombe weLigi uye mukombe weUEFA. Akahwina zvibodzwa achipesana nekirabhu yake yapfuura Everton mumutambo weMerseyside muna Gumiguru 2000, uye akahwina penalty mukutamba neBirmingham City muLigi Cup Final. Kukuvadzwa kwakaitwa muFA Cup semi-fainari muna Kubvumbi kwakaita kuti atadze kutora chikamu muFA Cup uye UEFA Cup finals. Pakupedzisira akasiiwa kunze kwedare reFA Cupasi akanga ari pabhenji nokuda kweUFA Cup Final. Mwaka wakatevera akatanga sezvo Liverpool yakakunda 2001 FA Charity Shield. Zvisinei, mushure mekukuvara kwakasimba uye kushaya fomu kwakaparadza mwaka wake wechipiri kukirabhu, Barmby akatengeswa kuLeeds United muna Nyamavhuvhu 2002 nemubhadharo we 2.75 mamirioni, kwaakabatana naTerry Venables, maneja wake wekutanga kuTottenham. Barmby akarova zvibodzwa zvisere munguva yake kuLiverpool, zvese zvakauya mumwaka wa2000-01: ina muEFAFA Cup, mbiri muLigi, uye imwe imwe muFA Cup neLigi Cup. 