The Dutchman joined Inter from PSV Eindhoven last year and has been an important part of a squad that are trying to retain the Serie A title.
He has appeared 39 times for the Nerazzurri in all competitions in the ongoing campaign and has recorded seven assists and netted four goals.
However, the wing-back could be on his way out of Inter after just one season with interest from Tottenham and Bayern Munich.
According to Italian daily Tuttosport, Tottenham and Bayern Munich have already carried out initial enquiries into the possibility of signing him from Inter.
Antonio Conte wants to sign six players for Spurs this summer and bringing in a right wing-back is believed to be one of his priorities.
Dumfries’ attacking ability has attracted the attention of the Spurs manager and he is considering taking him to north London.
And Inter have not ruled out selling the player after just one season and making a massive profit from his sale.
The Nerazzurri could be open to letting him go if they receive an offer in the region of €40m this summer.
Everton wanted Dumfries last summer, but the player chose Inter.