A winding mechanism for a sunscreen, for use in an open roof construction for a vehicle, includes a winding shaft which is supported at each longitudinal end to a stationary part of the open roof construction and forming a central axis for rotation. A winding tube for the sunscreen is rotatable around the central axis. At least one spring member is configured to bias the winding tube in a direction for winding the sunscreen thereon. The spring member is arranged adjacent to an inner surface of the winding tube and an outer surface of the winding shaft. At least one sleeve is configured to engage the spring member and inhibit noise from the spring member. The sleeve comprises an inner surface and an outer surface, wherein the at least one sleeve is connected along its inner surface to the winding shaft or along its outer surface to the winding tube.