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] Jevtović participated in the players' strike out of protest from unpaid dues in 2015.[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.[3]
Antalyaspor
In the summer of 2016, Jevtović joined Turkish side Antalyaspor in a €2.5 million transfer.[4] In his first six months in Antalya, Jevtović saw only 64 minutes of playing time.[5] As a result, he was loaned out to Norwegian club Rosenborg BK, where he saw much more playing time. While Jevtović was on loan, Rosenborg won the 2017 Eliteserien. Jevtović scored the opening goal for Rosenborg in the 2017 Mesterfinalen.
On 13 July 2020, he signed a four-year contract with AGF Aarhus, which plays in the Danish Superliga. He made 22 appearances and scored one goal for the club, until he left at the end of August 2021.
Odd
On the last day of the summer transfer market 2021–22, 31 August 2021, Jevtović moved to Norwegian club Odds BK.[7]
Hanoi FC
On 30 June 2023, Jevtović joined Vietnamese side Hanoi FC on a one-year contract.[8] On 2 July, he made his debut for the club in a 1–0 home loss against Song Lam Nghe An in the V.League 1. On 6 August, Jevtović scored his first goal for the club in a 2–1 away defeat against Cong An Ha Noi.
