A protective sleeve for use when handling animals to protect against cuts and scratches. The sleeve has an outer puncture-resistant surface and a scratch-resistant layer. The sleeve tapers from the elbow toward the hand of the user. A thumb receiving aperture is provided near the lower end of the sleeve to provide stability and to permit free use of the hand. A glove may be attached or integral with the sleeve which is also made of a laminate puncture- and scratch-resistant material.