Sunshade assembly and open roof construction provided therewith

A sunshade assembly comprising:

• a sunscreen having upper and lower sides, opposed longitudinal edges, and opposed transversal edges, the longitudinal edges being provided with guide strips both having a first edge and a second edge wherein the longitudinal edges of the sunscreen are attached to the guide strips proximate the first edges thereof, wherein the guide strips are substantially rigid in transverse direction,
• opposed and stationary longitudinal guiderails, each including a stationary guide channel section defining a stationary guide channel in which the respective guide strip is accommodated when the sunscreen is moved between open and closed positions, the stationary guide channel of each guiderail being bound on the side facing the opposite guiderail by a stationary guide flange supporting the lower side of the sunscreen, wherein a part of the stationary guide channel supports the guide strip proximate the second end, and
• a biasing member directly contacting and acting between at least one of the guide strips proximate the first edge and the corresponding stationary guide channel section to bias the guide strip at least proximate the first edge and the longitudinal edge of the sunscreen in a direction away from the stationary guide flange.