The French centre-half is likely to leave the club this summer, as head coach Xavi Hernandez reshapes his squad.
According to Sport, Spurs are at the front of the queue to secure Lenglet this summer.
Roma were thought to have the strongest interest in the powerful defender.
However, Spurs boss Antonio Conte is eager to add the experienced Lenglet to his squad for this coming season.
Spurs will be hoping to get a deal done as soon as possible.