West Brom and Watford are also in the race to sign the player who typically operates as a left-back.
The 27-year-old is being allowed to leave Gent on a free transfer, with the Belgians keen to get him off the wage budget.
Several clubs are thought to be interested both in England and across a number of European leagues.
Mohammadi has turned down two moves this summer already. Both AEK Athens and Ferencvaros were keen to add the defender.
The 37-cap player has entered the final year of his contract and his current club are willing to let him leave for nothing.
Last season he made 41 appearances, scoring once and claiming five assists, operating in his natural left-back berth and on the left of midfield.
Mohammadi would be an interesting signing. He has yet to reach his peak and at 27 he has a few years ahead of him.
Forest are in the market for a left-back. Yuri Ribeiro has departed on a free, whilst Tyler Blackett has just undergone surgery.
The Reds head into this Sunday’s opening game with Coventry with Gaetan Bong as their only senior option at left-back.
Mohammadi could be a decent signing for Forest
The Reds are getting to the stage where they desperately need a full-back.
Lee Buchanan and Josh Doig have been linked but so far the club has failed to get either deal over the line.
Mohammadi wouldn’t be quite as exciting as either of those two young talents, although he would offer more experience.
The Reds could also benefit from the fact he can play further forward and his versatility might tempt Forest into a signing.
Mohammadi caught the eye during the 2018 World Cup in Russia. During a game with Spain, he took an unconventional throw-in, doing a front flip before attempting to take the throw.
That highlights that he isn’t short of confidence and it’ll be interesting to see how serious Forest are over Mohammadi.