good question Suzanne!

Regular cotton binding would work but why would you use it when the fleece is right there and can easily be flipped to the front to act as a binding. The cotton binding would just add an extra layer of fabric which you don't need and would need to be cut a wider to cover the extra thickness of the fleece. A 1/4" binding would just not work for this kind of quilt. Any quilt with a fleece backing is user friendly and your user will not be checking to see if you used a cotton binding. Using the backing as a binding is a quick and easy way to finish this type of quilt. The baby will love it.