A bandage remains securely attached to the skin of a wearer during extended exposure to arid, humid or wet conditions. The bandage is readily removed from the attached condition upon application of pressure to its exterior surface. Adhesive portions of the contain pockets or microcapsules filled with an adhesive-inactivating ingredient. The pockets are formed in the backing layer. Microcapsules, if present, are incorporated in the adhesive. The adhesive inactivating ingredient comprises oil from vegetable source, mineral source or fatty acids. The wearer ruptures the pockets or microcapsules by applying pressure to the bandage above the adhesive portions. The adhesive-inactivating ingredient is thereby released at the skin-adhesive interface, permitting an easy, pain-free removal of the bandage.