Rubuta ci gaba don wannan sakin layi - Hyvönen ya fara ne a cikin ƙungiyar matasa ta Kärpät, kuma ya fara wasa a cikin SM-liiga tare da TPS. San Jose Sharks ne suka zaba shi a matsayin zagaye na tara a cikin NHL Entry Draft na 1999
Ka yi haƙuri. Bayan ya taka leda a wasu kungiyoyin SM-liiga, Hyvönen ya tafi Arewacin Amurka don kakar 2001-02, wanda ya fi yawa tare da reshen Sharks na AHL, tsohon Cleveland Barons. Bayan haka Florida Panthers ne suka sanya hannu, amma Columbus Blue Jackets sun sanya hannu daga jerin sunayen 'yan wasa kafin fara kakar wasa. Kusa da ƙarshen kakar NHL ta 2002-03 Blue Jackets sun ba da Hyvönen zuwa Färjestads BK a cikin Elitserien na Sweden. Ya fara kakar wasan 2004/05 na NHL tare da Färjestad, kuma daga baya ya koma Ilves a cikin SM-liiga. A cikin 2005 Hyvönen ya sanya hannu tare da HC Fribourg-Gottéron a cikin NLA, amma duk da cewa ya jagoranci ƙungiyar a cikin zira kwallaye a farkon Nuwamba, an yi la'akari da aikinsa ba mai gamsarwa ba kuma an sayar da shi ga Jokerit.