the Dream Wool batting is my all time favorite batting! as long as you do not iron directly on the batting you should be fine. ( I would cut off a small, like 4" square piece) sandwich it and try it out to make sure- but I have used it in projects that were pressed along the way- and nothing bad happened- used it for a quilted jacket that I pressed a number of times during construction- it is one of my favorite jackets! been 8 years now- it's been pressed a few times since completion. the batting is wonderful. I think you just don't want to touch the iron to the actual batting- which is the case with any bonded batting- not just the wool