I have used fleece for the back of many smaller quilts. One word of caution - it likes to move around!! I am not one for pinning or basting, but, with fleece I take precautions. Also, whenever I make a baby quilt, I like to self bind. This stops the little ones from chewing off the binding. I either make the top wider and fold over into it or just fold over the fleece to create a 2" blanket binding (if batting not used it will feel the same thickness as the rest of quilt). I do a zigzag or other decorative stitch and it adds to the special look of the 'binding'. My kids still have their baby quilts without ever having to be rebound and they are in their 30's - - wow, how did that happen?!?!?!?