In a professional career which lasted almost 20 years, he played in Mexico and Spain, other than in his own country.
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 Bentez. With its Balearic Islands neighbours he managed to be relatively used during his two years, helping them win the 2003 edition of the Copa del Rey.
In 2005, after nearly 200 official games in five 1/2 seasons, Lussenhoff returned to his country and signed with Club Atltico River Plate, before dropping down to the second division in 2008, moving to Club Atltico Talleres. In January 2010 he returned to Spain as he joined compatriot Nestor Gorosito – coach – at Xerez CD, as director of football.