Does the Sheath the Covers a Dog's Flaccid Wang Have a Name?

You know how when a dog is sporting red rocket you can see his pinkish dong emerge from that little furry sheath that normally hides it? What’s that sheath called?

Prepuce.

foreskin?

In horses, it’s called a penis sheath.
Rather unimaginative, but clearly descriptive.

Picture at http://www.vetmed.wsu.edu/cliented/anatomy/dog_ug.aspx labeled, as noted above, prepuce.

It’s clearly visible on buffalo nickels, as has been noted here before.