You could also try a light weight iron on stabilizer, however, the fact that the back is slippery makes me think it's a synthetic velvet, not cotton velveteen so the iron heat may be an issue. You also have to be very careful ironing it so you don't crush the pile. Dressmakers use a velvet needle board. You can use a thick towel. As mentioned, you can also use a basting spray and baste it to a thin piece of muslin. You would add the stabilizer or muslin to a larger piece before cutting.