A wound dressing including a hydrophilic layer and a hydrophobic layer is described. The hydrophilic layer absorbs exudate from a wound and the hydrophobic layer absorbs the exudate from the hydrophilic layer and traps the exudate. Because the hydrophilic layer is used adjacent to the wound, the exudate is readily absorbed thereby reducing the risk of maceration and infection of the wound tissue by the exudate. The hydrophobic layer receives the absorbed exudate from the hydrophilic layer and traps the exudate through an interaction that in turn prevents lateral diffusion of the exudate through the bandage to healthy portions of the skin. The hydrophilic and hydrophobic layers are fabricated from polymer fibers that can be spun to include components that facilitate wound healing, such as poly(hexamethylene biguanide) and/or hyaluronic acid.