A heavy-duty, load bearing, partially sun-screening, water-resistant, SUV soft-top for perpendicular suspension between the roll bars on the rooftop frame over the front passenger compartment of a convertible SUV comprising, a rectangular panel with longitudinal flat-hemmed sleeve edges and a pair of longitudinal webbings for fastening around the roll bars by means of fasteners. When human weight is applied on the soft-top panel, it flexes down and both the longitudinal webbings rise up to provide armrests stabilizers for the user. The webbings are tightened with tension buckles. The Jammock soft-top is installed on the roof top of a convertible SUV after removal of the existing hard, or soft-top.