An in-counter or in-wall dispenser including a product housing and a cover is disclosed. The cover is pivotally mounted so as to pivot between an open position providing access to the interior volume defined by the product housing for loading a new stack of sheet products and a closed position so that the sheet products are only accessible through a dispensing opening in the cover for one at a time dispensing of sheet products from the product housing. First and second tab-like members project from an interior surface of the product housing into the interior volume. With the cover open, the first and second tab-like members engage in a margin or border area of a front face of the sheet products positioned closest to the dispensing opening to hold at least the engaged part of the sheet products spaced from an interior surface of the anterior cover.