Wilson has been on the books of Forest since the summer of 2013 when he re-signed for them after leaving Scottish Premiership side Celtic.
The former Preston North End defender has created one chance in 12 Championship appearances for the Reds so far this season.
The centre-back has a pass accuracy of 75%, and has won 18 headers, one dribble and 12 tackles.
Forest are 15th in the Championship table at the moment with 46 points from 38 matches.
The Reds will return to action next weekend when they take on Brentford at the City Ground in the league.