Whakakihia te rerenga e whai ake nei: I te Pipiri 22, 2002, i whakawhiti a Lukowich me te whitu o nga whiringa a Dallas i te 2003 NHL Entry Draft (Jay Rosehill) ki te Tampa Bay Lightning mo te whiringa tuarua a Tampa Bay i te
2002 NHL Entry Draft (Tobias Stephan). I whakawhiwhia e ia ki a ia i te tau 2002 NHL Entry Draft. Whai muri i te rima-whaainga, 19-tohu tau i te 2003-04, i riro i a Lukowich tana toa Stanley Cup tuarua, i awhina i te Rama ki ta raatau taitara tuatahi me te wikitoria e whitu-takaro ki runga i te Calgary Flames i nga whiringa toa.