Abstract: A dermatologically-acceptable, moisture vapor-permeable, pressure-sensitive adhesive composition that is a single-phase solid at ambient temperature and resists dissolution when exposed to water, comprises a polymer adhesive which is the product of a process comprising the steps of chain extending a water-soluble derivatized capped prepolymer which comprises a first terminal group and a low-temperature curable group, until the resultant polymer attains a determined level of tackiness, and then subjecting the polymer to low-temperature curing. The adhesive is used to advantage in medical products like adhesive bandages, plasters, dressings and surgical drapes, and can dissolve water-soluble bio-active additives.