cording

How can I get my machine (Singer scholastic) to sew closer to the cording I'm trying to attach to my fabric? I'm using the zipper foot and have tried sliding the needle farther to the side, but I can't get close enough to the cording. About ⅛ inch of the tape the cording is attached to shows between the fabric and the cording. The cording is fairly fat. I've done thinner cording on pillows before with no problem. Thanks!