It could, depending on how heavy an interface it is. Why are you using an interfacing? Is there a knit in the quilt and your are trying to keep it from stretching out of shape? Or do you have a fabric that frays easily like a metallic lame' fabric? Or a really thin fabric that you want to reinforce and prevent "shadowing" of the seam allowance? I think if you use the lightest weight one you can you should be ok. It might be a little harder to needle so you may not be able to load as many stitches on your needle as you normally would. If it is a knit involved you might not be able to take as small a stitch.