The Forest boss Mark Warburton is said to be a fan of the Gillingham man.
Tottenham's Harry Winks in action with Gillingham's Josh Wright
The report claims that Mark Warburton is a fan of the player, who is being eyed up as a potential replacement for Henri Lansbury - who joined Aston Villa in January.
The 27-year-old has been in fine form for Gillingham this season, playing 41 times for the club and scoring 12 goals. Forest, according to The Sun, may be able to get the player in a cut-price deal.
He is out of contract with Gillingham in 2018 and that could see Forest get their man for as little as £100,000 this summer.
That would be a bargain for a player who seems to have all the attributes to thrive in the Championship - should Forest manage to successfully fight off relegation to the second-tier.
Watford's Matej Vydra in action with Gillingham's Josh Wright
Wright came through the youth system at Charlton Athletic and has previously played with the likes of Leyton Orient, Millwall and Scunthorpe.
Forest will no doubt be hoping to get their hands on an absolute bargain.