Plavšić played in FK Vojvodina's youth system, but was told that he was too small to make it for Vojvodina's first team. He began playing football on a senior level with ČSK Čelarevo in the lower tiers of the Serbian football pyramid. He played in Čelarevo for two seasons before moving to Spartak Subotica. It was in Spartak where Plavšić made his debut in the Serbian top flight for the 2014–15 season, and he played impressively particularly in a match against Red Star Belgrade.
