He comes from a relatively-sports related family; his father Zoran is a football referee and cinematographer, while his mother Dragana and his six-year older brother both played basketball in their youth.

In the 2013–14 season, he started working with the senior team of Partizan, under head coach Duško Vujošević.

On 8 November, he led his team with season-high 20 points in 65–50 win over MZT Skopje, showing great potential for the future.

On 14 October 2017, in an ABA League away game versus Zadar in a 104–97, Marinković scored a career-high 33 points, also adding 5 rebounds and 1 assist.

[16] On 17 June 2024, Marinković signed with Partizan Mozzart Bet of the Basketball League of Serbia for a second stint.

[21] Marinković represented the Serbia men's national under-16 basketball team at the 2013 FIBA Europe Under-16 Championship where they won the silver medal.

[22] The following year he was part of the U17 national team that won the bronze medal at the 2014 FIBA Under-17 World Championship.