The midfielder signed with Brugge just this past summer from Inter Milan for €10m.
The 20 year-old has been a revelation in the Jupiler League, with his from already attracting enquiries from both Spurs and Arsenal, says La Gazzetta dello Sport.
While Stankovic has a deal with Brugge, Inter do hold a buy-back option to the tune of €23m.
Aleksandar is the son of former Inter Milan and Serbia international footballer Dejan Stanković.