The Dutch international has been strongly linked with a £6million move to Arsenal.
Arsenal boss Arsene Wenger is keen to add more experience to his squad in the January transfer window.
But Van der Vaart has recently managed to break into the Real Madrid first-team due to Kaka’s injury.
Van der Vaart said: “My intention is to finish the season here and see out the contract that I have with Real Madrid.
“I am very happy and believe I am playing very well at the moment.”