Dee ihe na-aga n'ihu maka paragraf a - Mgbe ọ gụsịrị akwụkwọ na obere ụlọ akwụkwọ, Lukowich si na Islanders gaa Dallas Stars maka nhọrọ nke atọ na 1997 NHL Entry Draft
na June 1, 1996. Ọ na-egwuri egwu na Stars' usoro na Michigan K-Wings nke International Hockey League (IHL) na oge atọ mbụ ya, na-enweta NHL na-akpọ Stars na 1997<unk>98 na 1998<unk>99. Lukowich sonyere na mmeri Stanley Cup nke Stars na 1999, na-apụta n'egwuregwu asatọ n'oge egwuregwu egwuregwu, mana erughị eru ka aha ya tinye na iko ahụ. Na 1999<unk>2000, ọ nọgidere na Stars oge niile wee dekọọ isi ihe anọ karịa egwuregwu 60 na NHL rookie oge ya, nkezi ihe fọrọ nke nta ka ọ bụrụ nkeji iri na abụọ nke oge ice.