Born and raised in Borovo Naselje to an ethnic Serb family, Dujković attended Ivan Goran Kovačić primary school, where he was initially active as a handball goalkeeper. He was spotted there by Josip Kezdi, at that point an ex-goalkeeper for NK Borovo, who suggested he try football. He took his advice and soon became a goalkeeper in NK Borovo, before earning a move to NK Osijek. On 29 November 1962, NK Osijek juniors took part in the Yugoslav Republic Day tournament in Belgrade where 16-year-old Dujković impressed so much that powerhouse Red Star Belgrade immediately offered a move to their youth system. He accepted right away and only went home to pick up personal belongings.

At Red Star he became part of a new batch of up-and-coming players along with Jovan Aćimović, Stanislav Karasi, Dragan Džajić, Trifke Mihajlović under coach Miljan Miljanić. Dujković made his first team debut on 4 June 1964 in a last week tie of the 1963/64 season versus OFK Beograd. While at Red Star he played in the 1971 European Champions Cup semi-final and earned four appearances in Yugoslavia national football team. In 1974, Dujković moved to Real Oviedo, spending three seasons with the Spanish outfit. He returned to Yugoslav First League in 1977, joining newly promoted NK Osijek and staying with the club for three seasons. Following the conclusion to 1979/80 campaign, at the end of which NK Osijek got relegated, Dujković made the switch to Galenika Zemun, another second league side, and helped it gain promotion in 1981/82 season. He would not play top flight football again, though, as he promptly retired in the summer of 1982.

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