suern3

My first thought was no, probably not, due to the problems that Mariposa mentioned. But then, got to thinking that it might work if you only used a single thickness, not double fold binding. Since it doesn't fray you could just fold it over the edge of the quilt and sew the front and back at the same time. You would have to anchor it well, either lots of pins of maybe glue it in place. It will want to slide around. This will give a non-traditional look to the quilt but it might work, if that doesn't bother you. You could even use a decorative stitch on it. You could experiment with a small quilt sandwich and some extra fleece.

Edited to add that I have used flannel binding several times and luckily did not have any problems with the thickness. I often use flannel backing and just automatically used it for the binding, too. I do double fold binding and machine sew it to the front and then hand sew to the back. The last quilt I just finished is a child's donation quilt that is flannel pieced front and solid flannel backing, 100% cotton batting. That is one cozy little quilt!