Just curious, what is it that you want to bind with fleece? I make a lot of Linus blankets for our local chapter and we often get fleece donated. Many people finish it by cutting strips all the way around the piece and then tying either a knot in each piece or two pieces together. It makes for an interesting fringe effect. What I prefer to do is crochet a simple edge around the whole piece of fleece. There is a rotory blade made to cut holes at regular intervals to provide the holes needed for the crochet hook. Someone donated a whole box of precut fleece blankets to the chapter. In the last three weeks I have crocheted a colorful edge around almost twenty of them. I can finish one in about an hour of TV watching.
If I were to bind a fleece blanket with "binding" I would use the statin binding that you see on blankets etc. The only way I would use strips of fleece would be as an appliqued like trim. While fleece does not ravel it does shed.