Akor, 24, currently plays for Montpellier in Ligue 1 whom he joined last summer, and has scored eight goals and one assist so far.
Karat Record reports that Besiktas is closely monitoring the Nigerian’s progress and could make a move for him in the summer.
However, they face competition from Sevilla who are also showing interest in the former Nigeria junior international.
Despite his rising profile, Adam Akor is currently valued at €10 million per Transfermarkt.
With more than three years left on his contract, the French club may have to consider lucrative offers to secure Akor’s services.