Gudurić grew up with Crvena zvezda youth teams and signed his first professional contract in April 2013. He played two seasons for the Crvena zvezda development team FMP. On September 30, 2015, Gudurić re-signed for Crvena zvezda to a four-year deal. On October 15, 2015, he made his EuroLeague debut against SIG Basket with 6 points, 4 assists, 3 rebounds, and 4 steals. One of his best moments was against Real Madrid when he had a crucial dunk to get Crvena zvezda +4 lead one minute before the end of the game on November 27, 2015. On December 18, 2015, Zvezda played game against Bayern Munich for qualifying in TOP 16 of EuroLeague, Gudurić made some crazy 3-pointers and had 16 points in amazing comeback win in front of crazy atmosphere in Pionir hall. On July 5, 2016, he made a 3-point buzzer-beater against their biggest rival Partizan in Game 2 of KLS Finals to secure Zvezda 2-0 lead and final result 86–87. Gudurić started his sophomore season in EuroLeague great with 21 points, 5 assists and 4 rebounds to provide a win versus FC Barcelona Lassa in Round 3.
On July 14, 2017, Gudurić signed a four-year contract with Turkish club Fenerbahçe. In 2017–18 EuroLeague, Fenerbahçe made it to the 2018 EuroLeague Final Four, its fourth consecutive Final Four appearance. Eventually, they lost to Real Madrid with 80–85 in the final game. Over 36 EuroLeague games, he averaged 6.7 points, 1.6 rebounds and 1.9 assists per game, while also having very high shooting percentages. In 2018–19 EuroLeague season, Gudurić was among the most valuable roster pieces that brought Fenerbahçe to their 5th consecutive Final Four appearance. However, at the 2019 EuroLeague Final Four, Fenerbahçe lost in the semifinal game to their arch-rivals Anadolu Efes and later again in the 3rd place game to Real Madrid. Over the season, Gudurić averaged career-high 9.4 points and 2.2 assists per game, while shooting 47.7% from the three-point field goal. In the end of the season, Fenerbahçe lost the Turkish League championship after being defeated with 4–3 in the Finals of 2019 BSL Playoffs to Anadolu Efes.
Memphis Grizzlies (2019–present)
On July 31, 2019, Gudurić signed a multi-year contract with the Memphis Grizzlies. On October 23, 2019, Gudurić made his debut in NBA, coming off from bench in a 101–120 loss to the Miami Heat with nine points, two rebounds and two assists.
