After coming through the youth system of Rad, Urošević made his senior debuts on loan at BASK in late 2012.

[2] Urošević made his debut on 15 February, in UEFA Europa League Round of 32 as he played full 90 minutes in a 1–1 home draw against Viktoria Plzeň.

He found himself in the starting eleven in the return leg a week later and once again played a whole game, as Partizan was defeated 2–0 on Doosan Arena in Plzeň.

Urošević was in the Starting lineup for the final game that Partizan won 1–0 against fierce rival Red Star.

[5] In the UEFA Europa League 2019–20 Group L Urošević played full 90 minutes in all six games against Manchester United, AZ Alkmaar and Astana.

It was immediately clear from the trajectory where that shot would end, and the goalkeeper of the Belgian representative, Sinan Bolat, only managed to see it off with a glance.