Jovović made his professional debut with Sutjeska Nikšić in 2011 at the age of 17. He was one of the youngest starting players in Sutjeska's championship-winning generation of the 2012-13 season. In the 2013-14 UEFA Champions League qualifying phase, he recorded an assist in the match against Sheriff Tiraspol in Tiraspol. In June 2013, Partizan sent its sporting director Albert Nađ to scout Jovović.[2] On January 26, 2015, it was announced that several Premier League teams were interested in signing Jovović, especially Aston Villa.[3] In March 2015, in a 0-3 loss to Budućnost, Jovović and Budućnost player Miloš Novović got in a fight on the field, and Jovović subsequently attacked the referee.[4] Due to the incident, on top of getting a red card, Jovović was suspended by Montenegro's football authority for 6 months.[4]
Red Star Belgrade
Jovović's contract with Sutjeska expired at the end of the 2014-15 season. He trained with Red Star Belgrade in April 2015, although without having signed a binding contract.[5] Jovović started the new season with Red Star Belgrade under coach Miodrag Božović.[6] After his suspension expired, he signed for Red Star on August 14, 2015.[7] He made his debut for the new club in a cup match against Borac Čačak, played on 2 December 2015.[8]
At the end of the 2015-16 winter transfer window, Jovović was loaned to OFK Beograd.[9] The coach at OFK Beograd, Dragan Radojičić, had previously been Jovović's coach at Sutjeska.[10] On February 21, 2016, Jovović scored against Partizan on his debut for OFK Beograd.[10] After he scored 5 goals on 12 matches with OFK Beograd, Jovović was recalled to the first team of Red Star Belgrade,[11] but later he moved on a new six-month loan to Napredak Kruševac.[12] For the second half of the same season, Jovović was loaned to Spartak Subotica.[13]
Returning from loan spell in summer 2017, Jovović started new season with Red Star, being licensed for first qualifying round of the 2017–18 UEFA Europa League.[14] After he failed to make any appearance, Jovović terminated the contract with the club and left as a free agent on the last day of July same year.[15]
Jablonec
Shortly after he left his former club, Jovović signed a one-year contract with the Czech First League team Jablonec on 1 August 2017, with an option for one additional year.[16] He made his debut for new club in 2–2 draw to Dukla Prague on 20 August same year.[17] Jovović scored his first goal for Jablonec on 17 September 2017, in a 5-0 victory against Vysočina Jihlava.[18] He also scored a brace in a 3–1 win over Mladá Boleslav.[17]
Return to Jablonec
After one season Jovović returned to the Czech First League team Jablonec.[19] On 9 January 2024, Jovović left Jablonec.[20]
Sogdiana Jizzakh
In January 2024, Jovović signed a one-year contract with Uzbekistani club Sogdiana Jizzakh.[21]