YES, but do not use in direct sunlight. This will warm the bed and may discolor it. If it feels cooler to your touch than the surrounding air, then it is working correctly. It does not have to be cold to work it just has to be cooler than the dog, and following the laws of thermodynamics, the dog will lose heat to it. This product will always absorb and dissipate heat better than anything else your dog may choose to lie on.
Covers are available in several colors.
Ask Marcia if you are interested in a cover. Covers are not necessary as the bed is very attractive as is. Many dogs are still too warm in the winter. If your dog lies on a tile, cement, vinyl or other hard surface, they are probably too hot. If your dog seeks warmth in the winter, the Canine Cooler can still be used.