An adherent article, such as a bandage or adhesive tape, having a nonwoven substrate that contains water soluble fibers is provided. The water soluble fibers of the nonwoven substrate can include polyvinyl alcohol fibers that only dissolve at temperatures greater than 37null C. and/or polyvinyl alcohol fibers that can dissolve at temperatures less than about 37null C. The adherent article also includes a pressure-sensitive adhesive applied to the nonwoven substrate that facilitates adherence of the substrate to human skin. The pressure-sensitive adhesive can be water soluble or generally insoluble, but dispersible in water.