The 29-year-old is on Spurs' radar as they prepare to strengthen their squad with some defensive reinforcements during the current transfer window.
Centre-back Kevin Wimmer is expected to leave the club and he has been linked with a move to West Brom.
Tottenham had been hoping to bring in Glik as a replacement for the Austrian but, according to L'Equipe, they have been warned off making an approach.
Monaco have had plenty of clubs come calling for their top stars this summer after they stormed to the Ligue 1 title last season.
Talented playmaker Bernardo Silva has already joined Manchester City for £43m, while the likes of striker Kylian Mbappe and winger Thomas Lemar could follow him out the exit door.