Jović played in the junior teams of Ergonom from his hometown Niš. From 2010 to 2012 he played with Sloga. In July 2012, he signed a three-year contract with Radnički.
On September 21, 2014, he signed a three-year deal with Crvena zvezda. In the 2014–15 season, his first with the club, Crvena zvezda won the ABA League championship, the Serbian League championship and the Serbian Cup. He also appeared in 19 games in the EuroLeague, averaging 2.9 points, 2.8 assists and 2.1 rebounds. On November 12, 2015, in a road game against Bayern Munich, he set the Euroleague record for the most assists in a single game – 19. In May 2016, he was named MVP of the 2015–16 ABA LeagueFinals. On September 8, 2016, he re-signed with the team until the end of the 2017–18 season. On October 3, 2016, in a home game against Cedevita, he recorded 16 assists in 24 minutes.
Bayern Munich (2017–2019)
On July 14, 2017, Jović signed a two-year deal with German team Bayern Munich. In his first season with the team, Jović with Bayern lifted the 2017–18 Basketball Bundesliga championship trophy by defeating Alba Berlin with 3–2 in the final series. Over 40 games league games, he averaged 7.4 points and 5.3 assists, while shooting 54.7% from the field goal. In EuroCup, he appeared in 15 games and averaged 5.3 points and 5.6 assists per game. In 2018–19 season, Jović appeared in 35 games of the Bundesliga and averaged 6.3 points and 4.8 assists, while shooting 44.4% from the field goal. Bayern eventually defended the championship trophy by defeating Alba Berlin with 3–0 in the final series of 2018–19 Basketball Bundesliga. In the EuroLeague, he averaged 8.3 points and 4.6 assists over 23 games played.
On July 17, 2019, Jović signed a contract with the Russian team Khimki. On October 3, 2019, Jović left the court with back pain in a game against Maccabi Tel Aviv.
National team career
In the youth category, Jović was a member of the squad that won the silver medal at the 2013 Mediterranean Games and bronze medal at the 2013 University Games. He was also a member of the Serbian national basketball team that won silver medals at the 2014 FIBA Basketball World Cup and the 2016 Summer Olympics. Jović also represented Serbia at the EuroBasket 2017 where they won the silver medal, after losing in the final game to Slovenia. Over 9 tournament games, he averaged 6.4 points, 2.4 rebounds and 5.4 assists per game. At the 2019 FIBA Basketball World Cup, the national team of Serbia was dubbed as favorite to win the trophy, but was eventually upset in the quarterfinals by Argentina. With wins over the United States and Czech Republic, it finished in fifth place. With yet another absence of team's captain Teodosić due to injury, Jović emerged as the starting point guard of the team and averaged 7 points, 3.9 rebounds and 5.4 assists per game.