The Colombian striker joined the French outfit for a mouthwatering £51 million this summer and reports last month had insisted that the striker was already unhappy at the club - leaving the likes of Chelsea and Manchester City interested.
And in recent weeks, Falcao has been linked with a move back to Spain, with Real Madrid potential suitors.
However, with a trip to title rivals PSG on the horizon, Vasilyev has insisted that the club's prize asset will not be leaving the club.
And speaking to L’Equipe, Vasilyev stated: "There’s no clause in his contract that might allow him to leave after a year.
"It wouldn’t make any sense to build a project around a player who could leave us after one season.
"There are always people who have an interest in these rumours… I would just remind you that negotiations between Tottenham and Real Madrid [for the transfer of Gareth Bale] were very difficult."
Monaco have started strongly in Ligue 1 this season, winning four and drawing one of their five league games, however they will face their toughest challenge yet when the play the champions PSG this weekend.
Do YOU want to write for GiveMeSport? Get started today by signing-up and submitting an article HERE: https://www.givemesport.com/writeforgms