Adams, who plays for Ilkeston FC currently, has dazzled with his performances in the lower reaches of English football and it has alerted the interest of a host of clubs.
The attacking-midfielder is a box of tricks and his creativity is something which Forest believe could help the side in the future.
Adams is still only 18-years-old, so he is unlikely to be plunged straight into the starting line-up at Forest if he was to join, but he could become a secret weapon for the side.
Sunderland, Burnley and Southampton are all reportedly interested in signing in the youngster, who has been earning numerous plaudits since he broke through into the first-team at Ilkestone.
It means that any move for the prospect would be tough for the Reds to complete, given the high-profile teams they are competing with.
Adams has recently been in the England C team, helping his profile to increase even more, and Ilkestone chairman Dave Mantle admits that he is not surprise a player of his quality is attracting attention.
"We think he’s a really talented all-round player - an exceptional prospect at our level of the game," he said to the Derby Telegraph.
“We’re an ambitious club, keen to get to Conference North as quickly as possible, and Che is key to our chances of achieving that this season."
"But we have to be sensible and it would be wrong of us to stand in his way if a good opportunity arises for him to move to a higher level."
“We wouldn’t do that - but I’m very aware that I also have to be fair to our supporters and do what’s right for the club. I’m adamant that Che Adams will only leave Ilkeston when the time is right for him and for us.”