Career
Born in Banja Luka, Social Research Bosnia and Herzegovina, then still within Yugoslavia, Udovičić started playing in Serbia with SuperLiga side FK Čukarički in the 2010-2011 season. Then he moved to another Serbian top-fligh side, FK Radnički 1923, but he failed to make any league appearances, so he returned to Bosnia and signed FK Radnik Bijeljina. His next stop was newly promoted Bosnian Premier League side OFK Gradina.
In summer 2013 he moved to FK Leotar.
In June 2009 he was part of the Bosnia and Herzegovina U-19 team