Abstract: A top bedsheet, bottom (fitted contour) bedsheet, or pillow case is produced by circularly knitting, in a jersey knit configuration, a sheath and core yarn into a fabric. The sheath fibers comprise short staple fibers such as cotton or comparable cellulosic fibers, and provide at least 50 percent of the yarn and preferably about 68-83 percent of the yarn. The core fibers are long staple synthetic fibers such as polyester, and are completely covered by the cotton so that the product has smoothness of hand. The fabric has a weight of approximately four ounces per square yard, and is finished so that it has a relaxed shrinkage of about five percent in both the length and width dimensions. The sheath and core yarn configuration is produced by passing a sliver of sheath fibers and a roving of core fibers through a trumpet, and then through the rear rolls, apron, and front rolls of a drafting apparatus to produce a drafted composite sliver, and then mechanically imparting a twist to the drafted composite sliver.