On 2 May 2010, he scored his first senior career goal, finding the back of the net in a 1–0 home win over Jagodina.
[2] On 30 June 2011, he scored a goal and provided three assists in a 6–0 home win over Tre Penne in the first leg of Europa League first qualifying round.
In August 2016, Kojić joined Turkish second-tier side Gaziantep BB, signing a three-year contract and was given the number 36 shirt.
[12] On 15 February 2017, Kojić returned to his homeland and signed with Radnički Niš until the end of the 2016–17 season.
[14] Kojić was a regular member of the Serbia national under-21 team during the qualifications for the 2013 UEFA European Championship.