Jovančić joined Borac Čačak in 2012 at the invitation of club director Slobodan Ilić, who noticed him after he played for the amateur selection of the Football Federation of Belgrade.[1] On 2 December 2015 Jovančić played for Borac Čačak in a 1-5 upset which eliminated heavily favored Red Star Belgrade in the second round of the 2015-16 Serbian Cup.[2] He played a total of 88 games and scored one goal playing for Borac Čačak from 2012 to 2016.[3]
Vojvodina
Jovančić signed a two-year contract with Vojvodina in January 2016. In January 2018, he signed a half-season extension, rejecting an offer from Partizan.[4] By the time he left Vojvodina, he had played as the team captain.[2]
Red Star Belgrade
On 29 May 2018 Jovančić signed a two-year contract with Red Star Belgrade, with an optional one-year extension.[5] He was signed as a replacement for Mitchell Donald, who had been one of Red Star's defensive midfielders.[6] On 6 November 2018, he injured his hamstring in a 2–0 win against Liverpool in the Champions League.[7]
Astana
On 16 December 2022, Astana announced the signing of Jovančić.[8]
Kyzylzhar loan
On 6 December 2024, Kyzylzhar announced that Jovančić had returned to Astana after his loan had expired.[9]
Personal life
On 22 June 2020 he tested positive for COVID-19.[10]
^[1]Archived 23 November 2018 at the Wayback Machine BUTASPORT.rs: BUTASPORT SAZNAJE: Jovančić ostaje u Voši, odbio 10 puta jaču ponudu Partizana!(in Serbian) 9 January 2018.
^Душан Јованчић потписао!. Red Star Belgrade official website (in Serbian). 29 May 2018. Retrieved 29 May 2018.