Abstract: A pillow case providing the usual slip-over cover for a conventional pillow has, over one of its rectangular areas a strip of fabric, generally a contrasting and warmer material that is stitched to one long edge of the pillow case but is of a width somewhat more than half but less than the full width of the pillow case so that the other long edge of the strip is free. The ends of the strip are attached by stitching to the two ends of the pillow case, and there are pleats in the strip clear of the smooth flat central area of the strip. Desirably the strip is cut from a continuous bolt of cloth in the form of alternately reversed trapezoids with the cloth cut diagonally to form the diverging edges of the trapezoids while the original edges of the fabric form the parallel long sides of the trapezoid.