The Turkish international has returned to team training and is expected to be match fit in time for the game on Thursday.
The Turkish sustained an injury in the International Royal Cup friendly tournament during the winter break.
Kaya still has four-years left on his contract and makes €1.5 million per-season.
The young defender missed the European championship game for Turkey against the Netherlands and the friendly against Luxembourg.
Kaya is expected to return to first-team football in time for the next round of Süper Lig games.
Galatasaray beat Gaziantepspor 1-0 on the weekend, relying on an 85th minute goal from Hakan Balta to gain all three points.
Galatasaray take on 11th placed Akhisar next at the 19 Mayıs stadium in Manisa.
The Lions are currently second on goal difference to leaders Beşiktaş but only one point separates them from third placed Fenerbahçe.