A sheath for covering an intravenous device to shield the device from a patients skin. The sheath includes a layer of a soft woven material and a thin layer of a plastic material formed on an inner surface of the soft woven material to form, with said soft woven material, a pliable wrap meant to be disposed about the intravenous device for shielding the patients skin from the intravenous device. The pliable wrap has inner and outer surfaces, top and bottom ends, and respective sides. An elastic member is secured to at least one of the top and bottom surfaces of the pliable wrap to provide a gathered area surrounding the intravenous device at at least one end thereof. A fastening member is secured between the respective sides of the pliable wrap to extend in a closed manner about the intravenous device.
