Jevtović began his professional career at Borac Čačak, where he and the rest of the team were unpaid for up to six months at a time.

[2] The strike was interrupted when Nenad Lalatović was hired as the new coach of Borac Čačak, after which a series of positive results followed.

[2] In a historic upset on 2 December 2015 Jevtović scored against Red Star Belgrade in a 1–5 away win for Borac.

[6] On 13 July 2020, he signed a four-year contract with AGF Aarhus, which plays in the Danish Superliga.

On the last day of the summer transfer market 2021–22, 31 August 2021, Jevtović moved to Norwegian club Odds BK.