[1] During the 1990s, Veselinović spent one-and-a-half seasons with Radnički Niš in the First League of FR Yugoslavia, before moving abroad to Molenbeek.
He was then appointed as manager of Saudi side Al Batin in March 2021, saving them from relegation.
In October 2022, Veselinović was brought back to Al Dhafra, replacing compatriot Nebojša Vignjević.
[5] He brought with him compatriots to employ as staff, such as Goran Stanić, Dejan Odavić and Dragan Sretenijević.
The outlet Arab News named Veselinović "manager of the week" after his first match in charge.