We recommend wrapping the inner ring of an embroidery hoop, no matter the type of ground fabric. 3/4″ twill tape is intended for wrapping hoops that are 7/8ths of an inch thick.
When wrapping, make the overlapping wraps at a 45 degree angle and do it firmly. Tack with a few cross stitches to the inside of the hoop. Wrap the outer ring if you are embroidering on fine silk fabric or anything that will mark.