Frank has already made a significant move by agreeing to a £55M deal for West Ham United's Mohammed Kudus, one of the biggest signings of the summer.
However, attention has now shifted to Gibbs-White, a 24-year-old midfielder who has been a key player for Forest, starting all 34 of their Premier League matches last season and scoring seven goals, while providing 10 assists from an advanced midfield position.
Forest fans may be concerned about the potential interest in Gibbs-White, as he may be attracted to Tottenham's offer of regular European football and higher wages.
Tottenham finished 17th in the Premier League last season, but they will have European football next season, and they are expected to challenge for it once more.
Once the Kudus deal is confirmed, Tottenham are likely to start negotiating with Gibbs-White, who may be enticed by the prospect of joining the North London side.