Pejović started out his career with hometown club Sloga Požega, making his first-team debut in the 2006–07 season.

In the summer of 2010, Sevojno merged with Sloboda Užice and started competing in the Serbian SuperLiga.

[1] After three years at Mladost, he played for Belarusian side Dinamo Minsk, before returning to Serbia and joining Radnički Niš.

On 13 August 2020, Pejović signed a two-year contract with Bosnian Premier League club Sarajevo.

[3] Pejović won his first trophy with Sarajevo on 26 May 2021, after beating Borac Banja Luka in the 2020–21 Bosnian Cup final.