Born in
Tetovo, Djurovski joined the youth categories of his hometown club
Teteks. He subsequently moved to
Red Star Belgrade in 1977. Still a junior, Djurovski made his senior debut for the club on 11 April 1979, coming on as a substitute for
Duško Lukić in the first leg of the
UEFA Cup semi-final, a 1–0 win over
Hertha BSC. He spent the following 1979–80 season on loan at
Čukarički, becoming the
Serbian League (Group North) top scorer with 15 goals. After returning from a loan spell, Djurovski helped Red Star win the
Yugoslav First League in the
1980–81 campaign, scoring five goals in the process. He was an integral part of the team and a fan favorite in the following years, leading them to another league title in
1984. In the summer of 1986, Djurovski switched to
Partizan in a move that caused much controversy among fans and the general public. He immediately established himself as the club's key player, being their top scorer in the 1986–87 season, as Partizan won the league title. Afterwards, Djurovski spent the following three seasons with the
Crno-beli, including one year of his military service. In the summer of 1990, Djurovski moved abroad and signed with Dutch club
Groningen. He was the club's top league scorer in his
debut season at
Oosterpark with 14 goals, leading them to a third place, behind
PSV and
Ajax. In the following 1991–92 season, Djurovski again helped the club to secure a spot in the
UEFA Cup. He was then loaned to fellow
Eredivisie club
Cambuur in
1993. After returning to Groningen, Djurovski spent another few months at the club, before eventually leaving the country in the winter of 1994. After leaving Groningen, Djurovski moved to the newly independent Slovenia and signed with
Maribor in early 1994. He later moved to French side
Nîmes, but left the club after only a few games in December 1994. Later on, Djurovski made a return to Slovenia and joined
Second League club
Železničar Maribor in the summer of 1995. He then moved to the United States and briefly played
indoor soccer for the
Kansas City Attack in 1998, alongside his former Partizan teammate
Nebojša Vučićević. In the early 2000s, Djurovski came out of retirement and went on to play for
Slovenian Third League clubs Rogoza,
Bistrica (twice), and
Malečnik. He then served as player-manager of Bosnian club
Rudar Prijedor in 2003. Afterwards, Djurovski made two appearances for
Ljubljana in the
First League, before the club dissolved at the end of the
2004–05 season. He later served as player-manager of Malečnik, before joining newly formed Slovenian club
Bežigrad in July 2005. Djurovski appeared in a couple of matches for the club, before definitely retiring from the game, aged 42. ==International career==