Mezue ahịrịokwu na-esonụ: Ndị St. Louis Blues họpụtara Dwyer na agba nke atọ, nke 67 n'ozuzu, nke 1996 NHL Entry Draft. N'enweghi ike ịbịaru nkwekọrịta nkwekọrịta na St. Louis, Dwyer banyereghachi n'ọrụ ahụ na
1998 na ndị Montreal Canadiens họpụtara ya na agba nke isii, 152nd n'ozuzu.