The Green Crocodiles have been keeping tabs on the Togo international and were also linked with him over the winter transfer window.
Bursaspor president Recep Bölükbaşı is reported to be on the lookout for a marquee signing to coincide with the inauguration of the 45,000 seater Timsah Arena stadium.
The new stadium project is expected to be completed this summer.
The Timsah Arena will have a 45,000 capacity and is being constructed within the vicinity of the regeneration of the Osmangazi area of Bursa.
The experienced striker has struggled for playing time this season after falling behind the pecking order.
Adebayor has only played for 40 minutes in the Premier League since the turn of the year.
The Togo international has one assist and two goals in 16 appearances for Tottenham this season.