Abstract: A collapsible sunshade(50) includes a pair of support arms(54a, 54b). Disposed on outer ends of the support arms are a pair of ribs (62a, 62b). A fabric sheet (51) is disposed between the ribs to form a sunshade. The support arms include a pair of outwardly extending lever arms (58a, 58b). The ribs similarly include a pair of lever arms (64a and 64b). A pair of push rods (70a, 70b) extend between the lever arms of the support arms and the ribs. As the support arms are moved from a closed position in which they are substantially parallel to an open position in which they are substantially apart, the lever arms cause the ribs to extend outward thereby extending the shade. Preferably the sun shade is designed to be fitted on a collapsible headrest such that the combination of the collapsible shade and headrest can be easily stowed and transported by a user.