The 24-year-old former France Under-21 international is now heading to England to undergo a medical and put pen to paper with Mauricio Pochettino's side.
"MHSC and Tottenham Hotspur FC have reached an agreement regarding the transfer of Benjamin Stambouli," a statement on the Ligue 1 club's website.
"He will go to London in the next few hours to undergo a medical and finalise his contract."
The 24-year-old would become Spurs manager Mauricio Pochettino's sixth signing since he replaced Tim Sherwood in the close season, after Ben Davies, Michel Vorm, Eric Dier, DeAndre Yedlin and Federico Fazio also joined the London club.
Tottenham, who have won their opening two Premier League games, face Liverpool at home on Sunday.
- Sports & Recreation
- Mauricio Pochettino
- Benjamin Stambouli