 Nyorai kuenderera mberi kweiyi ndima - Kunyangwe zvisikwa ari mutambi wepakati wepakati, Murphy aigara achitamba semubati wepakati nekuda kwemakwikwi anotyisa enzvimbo, kunyanya kubva kuna Steven Gerrard naDietmar Hamann. Basa raMurphy kuLiverpool rakasanganisira mukombe unokosha mu2001 apo Liverpool yakakunda League Cup, FA Cup uye UEFA Cup, yechipiri yePremier League mu2002 uye yechipiri League Cup mu2003. Mumwaka wa2001-02, paakazvisimbisa semunhu akakosha muchikwata, mutevedzeri wemaneja weLiverpool Phil Thompson akarumbidza Murphy, achitaura nezvekugona kwake kuita zvinhu zvakawanda uye achimurondedzera pamwe mutambi anoziva matekinoroji atinawo. Kunyange zvazvo mwaka wa2002-03 wakanga uri wose unovhiringidza weLiverpool, nekirabhu ichidonha kusvika pachinzvimbo chechishanu patafura mushure mekutamba kwenguva refu pasina kukunda pakati pechando, Murphy aive nemushandirapamwe wakanaka wega uyo akamuona achihwina zvibodzwa gumi nezviviri uye akavhota mutambi wevatsigiri wemwaka. Akatangawo 2003 Football League Cup Final sezvo Liverpool yakakunda Manchester United, mushure mekupotsa 2001 yekupedzisiranemhaka yokukuvara. 