The 22-year-old, who has also been linked with a move to Arsenal, is contracted to the Rotterdam side until the summer of 2027 and coach Arne Slot has admitted they may end up selling him for the right price.
He told Voetbal International: "Suppose a club comes along for Santiago Gimenez that offers €60 million (£52m/$66m) and the club agrees, then I wouldn't lie down. I can't even do that. If it is good for Feyenoord and the player wants it, why would I object?'"