The Argentinian manager was confirmed as Tim Sherwood’s replacement at White Hart Lane earlier this week after much speculation linking him with the role.
One of the first players to speak out against the switch was Wanyama, who was annoyed that the South Coast club did not do enough to keep their chief.
The Kenyan was signed by Pochettino last summer from Celtic, and enjoyed a fine debut campaign in the Premier League.
Now it has emerged that he wants a reunion with his gaffer, and is ready to leave the Saints after just one year.
With Paulinho and Etienne Capoue’s futures in north London unclear, Pochettino could also be tempted by linking up with his former star, who was instrumental in improving the South Coast outfit’s defensive performances from a holding midfield role.
With other first-team players – namely Adam Lallana and Luke Shaw – attracting attention, Southampton may opt against letting the 22-year-old leave, but offers of well over the £12m they paid for his signature may be tempting.