The Austrian striker was substituted at half-time after feeling pain in his knee at the end of the first-half of his debut.
The Wolves medical team provided the following update on Kalajdzic, and also Raul Jimenez who was withdrawn from the squad before kick-off.
“Sasa felt a pain in his knee late in the first-half against Southampton. Unfortunately, scans reveal an anterior cruciate injury and he will see a knee specialist tomorrow.
“We now need to support Sasa in his recovery and further updates will follow.
“Raul’s pre-season was interrupted by a knee injury which means that he is still building his resilience and his ability to recover quickly during periods of match congestion.
“It was felt that his body needed a few more days to recover after he felt a pain in his groin during the warm up and we did not want to put him at increased risk of injury.”