Do NOT use Sullivan's on it. I am speaking from experience - I had used it for adhering some stabilizer to fabric, trying to use less stabilizer and it turned the fabric yellow. And the stickiness did not wash out either. So I checked the embroidery website and they recommend Sulky2000. It comes in a small can - it dissipates in about 20 minutes, so if there is any over-spray it doesn't stay around. You would not want to use it to put a quilt together, but to hold appliqué to sew it down it would work well. (I keep a paper box lid in my sewing room too as a spray booth.)
If you want to save it for later I would use the stick school glue too. I use it a lot when I make pillow cases.