Nyora kupfuurira kweiyi ndima - Mushure mekupedza kudzidza kubva kujunior, Lukowich akatengeswa kubva kuIslanders kuenda kuDallas Stars kune wechitatu kutenderera kutora mu1997 NHL Entry Draft
musi waJune 1, 1996. Akatamba muhurongwa hweNyeredzi neMichigan K-Wings yeInternational Hockey League (IHL) mumwaka wake wekutanga nhatu, achiwana NHL call-ups neNyeredzi muna 1997 <unk> 98 uye 1998 <unk> 99. Lukowich akapinda mumakwikwi eStanley Cup ya1999 yeStars, achionekwa mumitambo misere panguva yemutambo, asi haana kukodzera kuti zita rake riwedzerwe kuCup. Muna 1999-2000, akaramba aine Stars yakazara-nguva uye akarekodha mapoinzi mana pamitambo makumi matanhatu mumwaka wake weNHL rookie, avhareji yemaminetsi gumi nemaviri echando.