Kammala jumla mai zuwa: Bayan fara babban aikinsa na matasa a farkon shekaru 15 a gasar Ontario Hockey League (OHL), an zabi Spezza a matsayin na biyu a cikin
2001 NHL Entry Draft ta Ottawa Senators, daga baya ya zama kyaftin din tawagarsu bayan ficewar Daniel Alfredsson. Yin wasa a cikin Wasannin Hockey na Amurka (AHL) a cikin 2004 <unk> 05 saboda kulle-kulle na NHL, ya lashe kyautar Les Cunningham a matsayin MVP na gasar tare da Binghamton Senators. A cikin 2005-06, Spezza ya kafa Ottawa Senators franchise rikodin tare da taimakawa 71, yayin da yake buga alamar 90-point don na farko na sau biyu a cikin aikin NHL.