Nyora kupfuurira kweiyi ndima - Dwyer akanyorwa neSt. Louis Blues mumutambo wechitatu, 67th yose, ye 1996 NHL Entry Draft. Asingakwanisi kusvika chibvumirano chebvumirano neSt. Louis, Dwyer akadzoka zvakare muhurongwa muna 1998
uye akasarudzwa neMontreal Canadiens mumutambo wechi6, wechi152.