The 17-year-old midfielder is currently on the books of Domzale in his homeland - a club that has previously nurtured and then offloaded Haris Vuckic to Newcastle United and Gregor Zabret to Swansea City.
Stankovic has already made his mark within the senior ranks at his current employers and is being tipped for a bright future at the highest level.
Dortmund are among those to have noted his obvious potential and offered the talented teenager a trial in January.
They saw enough then to suggest that Stankovic is worth acquiring and discussions have been opened regarding a permanent switch to Germany.
Stankovic told Domzale's official website: "There is no doubt that I would love to become a member of Borussia because this club is a football institution with rich tradition.
"Talks between the clubs are ongoing but I'm very optimistic that this transfer will happen in the summer."