A covering (1) intended to cover the body (10) of a limb prosthesis, the covering (1) being a tubular covering including superposed layers including at least one silicone layer (31). The covering has at least one silicone layer (2), which is a transparent or translucent silicone layer that forms the external layer of the covering (1). The covering additionally includes at least two layers (41, 42, 43, 44) of dyed elastic fabric, preferably in different shades, at least the closest layer of elastic fabric (41) of the external layer (2) being a light-permeable layer.