When I refer to "fix", my machine(Designer SE)has an option where I can stitch a basting stitch around the hoop area. This allows me to stablize the fabric without having to hoop, and also allows me to use less stablizer when I can piece the added piece to the hooped stabilzer. Does anyone else use this option? So glad you asked.
Thank you for your answer I have the 300E Would pinning do the same I will try it today
As long as you secure around all edges, an away from the stitch area. I have done that with towels.