A method of integrating a pillow, including stuffing, within an encapsulated mattress having a core and covering surrounding the core is disclosed. A mattress for use in institutions, such as correctional facilities, detention centers, rehabilitation centers, hospitals and the like, includes a core formed of a padding material, a pillow adjoining the core, the pillow containing stuffing, and a covering surrounding the core and the pillow. Also disclosed is a mattress including a core formed of a padding material, a pillow adjoining the core using a sleeve, the pillow containing stuffing, the sleeve retaining the pillow to the core, and a covering surrounding the core and the pillow.