The 27-year-old is entering the final 16 months of his contract with the Belgian side and is being tipped for a departure during the upcoming summer window.
Apart from Spurs and the Saints, Premier League clubs such as West Ham United, Crystal Palace, Leicester City, West Bromwich Albion, and Everton are also keen on his services.
Scouts from the mentioned sides are said to have been sent by their respective clubs to monitor the striker last week and are all considering a possible move.
Gent are expected to part ways with the player after he rejected a contract extension as they look to avoid seeing him leave on a free transfer when his deal expires.
Depoitre has already featured 38 times in all competitions for his side this term, so far scoring 13 goals while providing another three assists.