 Born in Venado Tuerto, Santa Fe Province, Lussenhoff began his career at Rosario Central, and also had spells at San Lorenzo de Almagro, Mexican clubs Toros Neza and Cruz Azul and CD Tenerife and RCD Mallorca in Spain.In the latter nation, to where he arrived in January 1999, he was relegated from La Liga in his first season, then became an undisputed starter as the Canary Islands side returned to the top flight in 2001, under Rafael Benítez.With its Balearic Islands neighbours he managed to be relatively used during two years, helping them win the 2003 edition of the Copa del Rey.