The octagonal crypt contains six graves, said to belong to Sufi sheikhs but also speculated to be those of high-ranking Ottoman soldiers.
A shrine cult has emerged around the tomb, where candles are lit and thin metal sleeves thrown in.
The graves once stretched all the way to the sports fields, but the gravestones were flattened into the current park by the Socialist Federal Republic of Yugoslavia government after World War II.
This fate also befell the graves on the western side of the Old Fortress near the Vojinović Tower.
The oral recounting of shrine custodian Ajet Havarda holds that the tekke was built 200 years ago.