The Belgian joined Spurs from Ajax in the summer of 2012, and has been a regular starter ever since.
Some reports have suggested that clubs such as Barcelona may be looking to make a bid for his services in the future.
However according to the Evening Standard, Tottenham are looking to ensure that Vertonghen's long-term future is in north London and will offer him a new deal.
The centre-back signed a four year contract when he joined Spurs, with the option of an extension built in, but his club reportedly believe the best way to keep him from the clutches of their rivals is to offer him a new deal entirely.
The Standard believe Vertonghen currently earns around £40,000-per-week, but his new contract will make him one of Tottenham's highest earners.
Vertonghen seemingly grew frustrated with the fact he was forced to play at left back earlier on the season under ousted boss Andre Villas-Boas, however current boss Tim Sherwood reportedly rates him highly and wants to base his defence around the Belgian international.
Meanwhile, the Mirror claim that fellow defender Vlad Chiriches will be out for a further six weeks because of a problematic back injury.