The midfielder has long been linked with a move to Manchester United, while Napoli also made an enquiry for the 23-year-old this summer.
|6/4||Kevin Strootman is 6/4 with BetVictor to join Manchester United
"We do not want to lose Strootman this summer. He knows that he will stay at PSV for another season," Brands told De Telegraaf.
Strootman is a product of the Sparta youth academy and also wore the Utrecht jersey before joining PSV in the summer of 2011. He has since developed into a key player at the Eindhoven side.
The midfielder's contract with PSV runs until June 2016.
The Eredivisie side previously lost Jeremain Lens to Dynamo Kiev, Dries Martens to Napoli and Erik Pieters to Stoke City, while Ola Toivonen is in talks with Norwich City.