I just folded my backing from the back to the front mitering the corners and stitched down.

I recently made a denim scrappy quilt for a boys' charity and I used fleece for the backing, with no batting. I finished it by doing the "birthing" method, then topstitched about 1/2" from the edge all around and did minimal quilting, enough to keep the fleece from shifting. Thought it turned out just fine and it finished up very quickly. I used the "no-pill" fleece from Joanne's.

Thanks to all for your replies! Looks like there are a number of options for this. I hope to get the quilt cut out this weekend. I'll get the fleece once I know what size the quilt will be.

I used a packaged satin blanket binding. I put it on with a decorative stitch. Looked fancy!

I've had some fleece pieces shrink - this was from several years ago -

I do my usual 2 1/4" binding.

I make these all the time, even if I put in batting I still use 2.5" on my binding.

I just use cotton like I use on the top. Fleece is VERY EASY to quilt! In fact, I just bought some fleece yesterday to use as backing on a quilt I am making for my neice.

I have just used 2 1/2 fleece binding. Works just fine.

I would finish it pillowcase style. Don't have to deal with binding then.