I made a rag quilt for my daughter with a combination of cotton. flannel and minky. The combination worked well. While the minky does not fray. it does add a nice texture. I am guessing that the fleece would be similar. I used the cotton for the front of the quilt, or the top piece of the sandwich, cotton batting for the center, not extended to the edges, and a combination of flannel and minky for the back. The rag quilt design I use is an 8 inch block combined with a 4 patch block. If you want to add flannel or cotton for added texture, it does work to combine them. Or if you wanted, two layers of fleece will make a cozy quilt, too.