The midfielder has been on loan at Preston North End and scored eight and assisted six in the Championship last season.
Preston have an option to buy for £6 million and while that is double their record transfer fee, they have been so impressed that they have decided to trigger it.
That means they can hold talks with the 21-year-old but, according to Football London, they face competition.
Celtic are said to be showing an interest, along with Wolves after their recent relegation. There are a number of other top end Championship sides with Premier League ambitions in the mix.
Devine has a year left on his contract and it looks unlikely he will sign a new on with Spurs.
Before his loan at Preston, he had spells at Port Vale, Plymouth, Belgian side Westerlo.