A wound dressing package encloses an adhesive dressing, which has a contact surface and an opposed shielding surface. The contact surface of the adhesive dressing includes a treatment surface and an adhesive surface. The package includes a flexible carrier, which has an inner surface that faces the shielding surface of the adhesive dressing and a protective cover, which has an inward surface that faces the contact surface of the adhesive dressing. The protective cover is attached to the flexible carrier to enclose the adhesive dressing. The protective cover is stiffer than the flexible carrier, and is configured to split apart adjacent the treatment surface when the wound dressing package is bent with the protective cover in tension.