 Ramba uchiverenga ndima ino - Zvaakaita zvakacherechedzwa naArsène Wenger, uye Jeffers akasaina Arsenal musi wa14 Chikumi 2001 pamubhadharo wekutanga wemamiriyoni masere emadhora, nemamwe mamirioni maviri emadhora zvichienderana nekuonekwa. Zvisinei, Jeffers haana kurarama kusvika kune mhumhi mubhokisi tag, uye nguva yake kuArsenal yakateverwa nekukuvara. Akamanikidzwa kubuda muchikwata nenzira yevamwe varwi vakaita saThierry Henry naSylvain Wiltord. Arsenal yakakunda FA Cup muna 2002 na2003asi Jeffers akasiiwa kunze kwemauto ose ezuva romutambo, wokupedzisira nemhaka yokukuvara. Akabatsira mukukunda kwavo muna 2003 nekurova zvibodzwa zvitatu munzira yekuenda kumagumo; maviri kurwisa Farnborough uye imwe kurwisa Chelsea. Akatangawo semi-fainari neSheffield United. Arsenal yakakundawo 2001-02 Premier League, asi Jeffers akaonekwa mumitambo mitanhatu chete mwaka iwoyo. Akanga ari mutsivi asina kushandiswa pazuva iro Arsenal yakabata zita rekurwisa Manchester United kuOld Trafford. Kuonekwa kwake kwekupedzisira kweArsenal kwakauya muna 2003 FA Community Shield, achiuya semutsivi asi ndokuzodzingwa kunze neManchester United. 