Abstract: Disclosed is a preemie warmth stocking cap comprised preferably of several components including in a multilayered construction two layers of a woven or knitted stretchable but resilient fabric, such as cotton, which forms an outer and inner layer between which is disposed a thin and flexible insulating plastic layer to minimize heat loss that is readily deformable, but not readily breakable and which includes an adhesive to achieve positional stability between the plastic layer and an adjoining fabric layer. A third optional component is comprised of a clamping structure comprised of an inert material used to close the top of tubular fabric about the top of the infant's head if the fabric layers are made with a tubular stockinette.