The midfield powerhouse would solve two of Spurs' most pressing issues.
The former Celtic man has been a vital cog in the Saints midfield since his arrival in 2013 and Ronald Koeman was understandably determined to keep hold of him, even after a transfer request was handed in.
Wanyama has since got his head down and returned to form in recent weeks, but the lure of a move to Spurs and a reunion with Mauricio Pochettino will remain an attractive prospect.
The 24-year old played some of his best football under the Argentine and his transition to the current Spurs team would be seamless.
Pochettino has finally got the squad he wanted and the youthful exhurberance and energy that characterised his Southampton team is now plain to see at White Hart Lane.
Wanyama’s arrival at Spurs would be a welcome addition and would help bolster the two areas of the pitch Tottenham are light in.
Eric Dier’s unexpected emergence in defensive midfield has been a stroke of fortune for Pochettino but beyond the youngster, there are no like-for-like alternatives in the event of injury or suspension.
Spurs have a talented collection of central midfielders but none other than Dier possess a true defensive mindset and the capture of Wanyama would address that problem.
Dier’s transition has also left the Lilywhites light at right-sided centre-back, with the un-favoured Federico Fazio the only current back-up for Toby Alderweireld.
Wanyama’s versatility would allow him to fill in at centre-back while Dier plays further ahead – or vice versa – and would ensure Spurs always have a defensive presence in midfield whilst avoiding having to use the calamitous Argentine.
The Saints will once again be loath to part ways with the Kenyan, should Spurs come calling in January, but a good enough offer, early enough in the window could see Pochettino get his man.