Medical needle assemblies incorporating a needle cover are provided. According to one aspect, a medical needle assembly includes a hub portion and a pair of outwardly extending wings. The hub portion may have a raised orientation member, with the wings being foldable to overlay the raised orientation member and contact the raised orientation member and each other. Alternatively, the hub portion may have an anti-rotation member adapted to cooperate with the wings to limit rotation of the wings with respect to the hub portion.