Sordes pilosus was originally described by A.G. Sharov in 1971. The body appears to be covered with thick, half centimeter long hair. The wings, and tail appear to be hair free. The hair-like covering provided more evidence that Pterosaurs were ectothermic as the hair would have insulated the body and provided a more streamlined profile in flight.

The wing membranes are clearly seen to be attached to the legs, and there is a secondary membrane stretched between the legs. The tail is not attached to this secondary membrane and is left unimpeded.