The 23-year-old spent last season on loan at Toulouse and he is now ready to leave permanently in search of first-team football.
Watford have been tracking the defender since July, while Saint-Etienne and German side Ingolstadt are interested too.
But, according to L'Equipe, it is going to cost any of them £4.3m if they want to sign Tisserand this summer.
Monaco are aware of the Congolese's desire to play regularly and they are willing to let him leave for the right price.