A plush toy is provided having its surface generally covered with multiple panels of fur fabric or plush fabric, which is non-stretching but soft to the touch. The toy includes a center body, a head, two ears and four legs. Eye and nose members may also be added as appropriate to model the actual animals and the like. In the belly side of the toy, a shaped patch of elastic fabric is stitched to cover a blank, which is defined by the edges of the panels of the fur fabric. The elastic fabric is free of fur and lies flush with the surrounding belly panel areas in its natural state. The head and four legs have respective cavities filled with cotton batting and the like to give a thickness and softness before or after their attachments to the center body. A bladder of elastic material such as rubber or silicon is prepared with liquid, which is filled at least partially to provide an expansive response to squeezes. The bladder is introduced into a cavity of the body through the blank and rests securely therein. The blank is then covered by an elastic fabric that acts as an interface for the toy owner to feel the elasticity of the bladder.