After starting out at Hajduk Kula, Mijić joined Vojvodina in 1982.
He was a member of the team that won the Yugoslav First League in the 1988–89 season.
Later on, Mijić spent some time abroad in Spain, having stints with Espanyol and Palamós.
At international level, Mijić represented Yugoslavia at the 1983 UEFA European Under-18 Championship.
[1] After hanging up his boots, Mijić served as manager of Armenian Premier League club Ararat Yerevan on two occasions (2007 and 2014).