Aleksej Pokuševski is a Serbian professional basketball player for Olympiacos Piraeus of the EuroLeague, as well as the club's reserve team. Pokuševski shone as a youth player for the Greek club, Olympiacos Pireaus. He debuted for their senior team in 2019, at age 17, becoming the youngest EuroLeague player in club history. In addition to being a citizen of Serbia, Pokuševski also has Greek citizenship.
On March 19, 2019, Pokuševski made his EuroLeague debut with Olympiacos Piraeus, in a 89–69 win over the German club Bayern Munich, during the EuroLeague's 2018–19 season. He recorded 1 point, 2 rebounds and 1 assist, in one minute played during the game. Pokuševski became the youngest senior men's Olympiacos player to ever debut in the EuroLeague. At 17 years and 83 days old, he replaced Georgios Printezis, who had previously debuted in the EuroLeague, at the age of 17 years and 229 days, as the club's youngest ever EuroLeague player. For the 2019–20 season, Pokuševski was assigned to play in the Greek A2 League, the country's second-tier league, with Olympiacos' reserve team, Olympiacos B. He initially played for the senior EuroLeague club's practice squad. Pokuševski started in eight of his 11 appearances in the Greek A2, averaging 10.8 points, 7.9 rebounds, 3.1 assists, 1.3 steals, and 1.8 blocks in 23.1 minutes per game. He shot 40.4 percent from the field, 32.1 percent from 3-point range, and 78.3 percent from the free-throw line. In the middle of the season, Olympiacos' main EuroLeague team was riddled with injuries, and Pokuševski was called up to the senior team. He played two minutes in his only EuroLeague game of the season, before the league's season was suspended due to the COVID-19 pandemic in Europe. On April 24, 2020, he declared for the 2020 NBA draft. Pokuševski earned Greek A2 Bosman eligiblePlayer of the Year and All-Defensive Team honors from the website Eurobasket.com.
Pokuševski's family originates from Priština, Kosovo. Due to the Kosovo War in 1999, his family escaped to Podgorica, and moved to Belgrade, Serbia afterwards, where Pokuševski was born in 2001. Thereafter, Pokuševski and his family permanently moved to Novi Sad. After signing a youth team contract with the Greek basketball club Olympiacos, Pokuševski moved to Greece in 2015, at the age of 13. While playing in Greek competitions, he counts as a native Greek domestic player, since he started competing in Greek competitions before the age of 14. He was eligible to represent either Serbia or Greece in national team competitions, and he chose to represent Serbia.