The 19-year-old has only just broken into the Forest first team this season but has done enough already to catch the eye of the Toffees and Stoke City, who are both said to be preparing bids.
Forest are desperate to keep hold but it has been suggested they may have to cash in as a takeover involving US investors continues to drag on.
The youngster is not tied to a long-term contract either, which puts Forest in a vulnerable situation heading towards the January transfer window.
Everton boss Ronald Koeman is trying to build his own squad at Goodison Park and will be active in the coming transfer window.
England manager Gareth Southgate has claimed that the country needs to boot racism out of its own football before criticising World Cup hosts Russia.
Newcastle have been linked with a shock move for former Sunderland goalkeeper Simon Mignolet during the summer.