August Priske has been linked with a move from Djurgården to Besiktas during January. There have been concrete inquiries for August Priske, according to Djurgården's sporting director Bosse Andersson. Speculation about the transfer fee has involved sums up to triple-digit millions.

August Priske is being tracked by European sides, including Besiktas and Lille. Birmingham are reportedly ahead of clubs like Besiktas and Lille in the effort to sign Priske this January.

Turkish media reported that Djurgården and Besiktas are negotiating for August Priske, and the Turkish outlet Fanatik wrote that Besiktas has initiated negotiations. However, according to Djurgården's sporting director Bosse Andersson, there are no concrete talks with any club. Andersson also said there is a 50% chance that Priske will stay at Djurgården. Priske stated that he does not feel rushed to leave and that the timing needs to be suitable for both him and the club. Meanwhile, Besiktas supporters have been active on social media in an attempt to persuade the player to join their club.

Beşiktaş has begun looking for alternatives amid the possibility of Tammy Abraham's departure. There are reported serious offers for him from Saudi Arabia and Russia. Consequently, the club has added 21-year-old Djurgardens striker August Priske to their transfer list and started to research the costs. Priske was named footballer of the year in Sweden last season. It was stated that Beşiktaş wants to add the Danish footballer, who is the son of Sparta Prague manager Brian Priske, to their squad if conditions allow. Priske's contract is valid until December 2028. He has also drawn attention from other European clubs, and Italian team Sampdoria has reportedly shown serious interest. Priske joined Djurgårdens IF in August 2024. According to Transfermarkt, he has a current market value of €1.60m. He has also made 6 appearances for the Denmark U21 team, scoring 1 goal.