A process for transferring a thin polymeric film to either woven or non-woven fabrics by first coextruding the thin polymeric film with a plastic support layer, then adhesively laminating the polymeric film to a fabric, followed by delaminating the support layer. The thin base layer remaining on the fabric imparts desired properties to the fabric while maintaining the soft feel, or drapeability, of the fabric, as opposed to lamination of thicker polymeric films to fabrics.