Soft tissue products with a good rate of absorbency, such as facial and bath tissue, are provided by forming a tissue sheet with a non-fibrous polymeric surface structure and thereafter topically applying a softening composition comprising a polysiloxane, a fatty alkyl derivative and glycerin. The non-fibrous polymeric surface structure is created by applying an additive composition to the surface of a tissue sheet prior to or after drying. The additive composition can be an aqueous dispersion containing an alpha-olefin polymer, an ethylene-carboxylic acid copolymer, or mixtures thereof. The alpha-olefin polymer may comprise an interpolymer of ethylene and octene, while the ethylene-carboxylic acid copolymer may comprise ethylene-acrylic acid copolymer.