FK Metalac
Miljković has passed Partizan's youth academy after which he was transferred to FK Teleoptik to gain experience. He was promoted to Partizan senior squad along with Adem Ljajić during the 2008–09 season. He debuted against FK Čukarički on 26 October 2008. Later on, he was sent back to Teleoptik. In 2010, he was loaned to FK Metalac where he played five games and scored one goal. The next three seasons, Miljković spent as a standard member of Partizan. He also made 14 appearances for Partizan in the UEFA club competitions.