A sensor arrangement for detecting fogging on a glass pane, the arrangement including a support plate, a sensor element in thermal communication with the glass pane, wherein the sensor element is arranged on the support plate and is sensitive to moisture and a contact element that thermally couples the sensor element with the glass pane. The contact element is fastened on the support plate so as to enclose the support plate to a large extent in a contact area where the contact element contacts the glass pane.