A reduced-pressure, linear-wound closing bolster (126) has a pivotable frame (130) that moves from an extended position to a compressed position under the influence of reduced pressure. The closing bolster (126) may have a first closing member (132), a second closing member (146), and an interior space. A manifold member is disposed within the interior space (174) and may be coupled to the pivotable frame (130). When a reduced pressure is applied, the pivotable frame (130) is urged from the extended position to the compressed position. A first gripping member (145) for transmitting a closing force from the first closing member to a first edge (106) of a linear wound may be attached. Likewise, a second gripping member (159) for transmitting a closing force from the second closing member (146) to a second edge (108) of the linear wound may be attached.