The 20-year-old has scored 16 times in 26 appearances since joining from Italian side Udinese on a season-long deal in the summer.
The two clubs are both owned by the Pozzo family and talks have already begun to make Vydra's move to Vicarage Road permanent.
However, agent Ondrej Chovanec revealed the Czech Republic international is also being tracked by Premier League sides, including one from the top six.
He said: "At the moment, five Premier League clubs are interested in Matej.
"[But] we want Matej to stay with Watford at least until the summer. We are not planning any rush move for him.
"He has been at the club for six months, everything has worked fine, he has been coached by a great manager and the people love him. We have no reason to change anything."
Despite the Premier League interest, Chovanec revealed talks to make Vydra's move to Watford permanent are at an advanced stage and the deal could be finalised before the end of the transfer window.
He added: "Thanks to the connection [between Watford and Udinese], it is one wallet, basically.
"I have been in talks over this matter with the Watford owner and director. Originally, I did not want to push the matter, but now when I see how people in this club would like to make that [a permanent deal] happen, it is very likely that Matej will become a Watford player in January."
Chovanec suggested it would take a large bid to prize Vydra away from the Pozzo family's clubs.
He said: "Udinese or Watford will not sell him for £5m. If you look back at the previous transfers of the clubs owned by the same owners, you will see that they only do big ones. They sold [Alexis] Sanchez to Barcelona [for £23m], for instance."