Career
Born in Kragujevac, Milošković began playing football with KFK Radnički in the First League of Serbia and Montenegro. Milošković moved to Greece in July 2005, initially joining Greek second division side Kalamata F.C. He would spend three seasons with the club in the second division before moving to fellow second division side Diagoras F.C. for two seasons.
After returning to Radnički Kragujevac for the first half of 2010, he joined another Greek second division side, Pierikos, in July 2010.