Sneijder picked up a muscle strain during training and faces a race against time to recover in time for the clash.
The Netherlands international joined Galatasaray from Inter in January 2013 and has a total of 32 goals and 14 assists in 94 games for the Lions.
The 31-year-old has been in impressive form for the Lions.
Sneijder has 11 goals and four assists in all competitions for the Istanbul giants this season.
The Lions are currently first in the Süper Lig, two points clear of second places Fenerbahçe and three points clear of third placed Beşiktaş.
Trabzonspor are currently sixth but have been one of the best performing sides in the second half of the season.
The Black Sea Storm are coached by Ersun Yanal who only took over in November.
Yanal led Fenerbahçe to the league title last season before resigning in the summer for personal reasons.