Kammala jumla mai zuwa: Suter shi ne na uku na iyalinsa don yin kariya ga Wisconsin Badgers, bayan 'yan'uwa John da Bob. Ya bayyana a wasanni 34 a 1983/84, inda ya ci maki 22. Ian McKenzie, mai kula da scouting na Calgary Flames, ya lura da wasan Suter a Wisconsin kuma ya kara sama da inci biyu na tsayi, wanda Central Scouting ya kasa sabuntawa a cikin rikodin sa game da shi. Flames sun zabi Suter tare da zagaye na tara, 180th gaba daya, a cikin
Zaben shekara ta 1984. Suter, wanda yake aiki a masana'antar giya, da farko ya yi baƙin ciki da zaɓinsa. Ya kasance a shekararsa ta ƙarshe na cancantar daftarin kuma yana fatan bin wasu 'yan wasan kwaleji waɗanda suka sanya hannu kan kwangila masu fa'ida a matsayin' yan wasa masu 'yanci bayan ba a zaɓe su ba. Bayan lokacinsa na biyu na 1984/85, wanda ya rubuta maki 51 a wasanni 39 don Wisconsin, Suter ya bar Wisconsin don zama mai sana'a.