I also need my fabric to not slip on the mat, and I found Quilter's Select to be too slippery for me; I couldn't use it. Olfa does have the best surface texture, imo, but I switched to a Martelli mat because I had difficulty seeing darker colors on the Olfa. The Martelli is not quite as grippy as the Olfa, but I have no trouble using it for folding and cutting fabric.