A veterinary harness is provided that provides a body covering over a wound site, incision, or injury that prevents the animal from licking or otherwise inspecting the area. The harness comprises a body portion having a covering and a padded offset member that is positioned over a wounded area, wherein the offset member maintains a gap between the covering and the wound. The covering includes a breathable construction, which combined with the offset allows ready airflow through the device and to the wound site. The body portion includes elongated straps that secure around the animal torso, while a forward strap assembly secures around the shoulders of the animal to maintain the body portion position. The device is ideally suited for covering open wounds and surgical dressings on animals without utilizing an Elizabethan collar to prevent access thereto.