He made his first appearance at the 1996 Summer Olympics which were held in the city of Atlanta, United States of America.

Markovic could only establish a time of 2:00.02 and was eliminated after the preliminary heat in the men's 200 metre butterfly.

Finally, at the 2004 Summer Olympics in Athens, Greece, his time of 2:04.77 at the men's 200 metre butterfly was only good enough for a 31st overall place.

Among his best results remain the 7th-place finish at the 1995 FINA Short Course World Championships in Rio de Janeiro, Brazil, and his 9th-place finish at the 2000 FINA Short Course World Championships in Athens, Greece.

He has been Serbia's butterfly national champion for the past 15 years and retains the title still to this day.