The invention relates to a medical support device comprising an essentially flat back wall, a curved front wall, and a pocket defined between the back wall and the front wall for receiving a breast implant and/or tissue, and is characterized in that the area of the back wall (11) is substantially larger than the projected area of the front wall (13), and in that at least part of the back wall is structured to extend outside the projected area of the front wall in an inferior direction and/or in a lateral direction and/or in a medial direction in the frontal plane of an individual, as seen in an implanted state.