A dispenser for interfolded napkins, the dispenser comprising - an inner container having a bottom wall extending in a horizontal plane, and side walls extending from the bottom wall in a vertical direction perpendicular thereto and defining a dispensing opening opposite the bottom wall, the side walls of the inner container surrounding a supporting surface for supporting a stack of interfolded napkins, and - an outer sleeve comprising a dispensing mouth, the outer sleeve forming at least one open end portion being arranged to receive the inner container such that the inner container is insertable into the outer sleeve along an insertion direction extending in parallel to said horizontal plane, - the dispensing opening and the dispensing mouth both extend along said insertion direction, - the dispensing mouth forms an open end towards said open end portion of the sleeve; and, when the inner container is located in the outer sleeve, - the supporting surface is biased towards the dispensing opening of the inner container and vertically movable inside the inner container between a lower position adjacent the bottom wall of the inner container, and an upper position adjacent the dispensing opening of the inner container, and at a distance from the inner periphery of the outer sleeve, forming a space between the upper position and the dispensing mouth, wherein said upper position is determined by at least one horizontally extending tab arranged in the inner container at a vertical distance from the dispensing mouth of the outer sleeve, - and, at least in a region adjacent the open end of the dispensing mouth, the outer contour of the upper ends of the side walls of the inner container deviates from the inner periphery of the sleeve, forming an access opening to the space between the upper position and the dispensing mouth, when the inner container is located inside the outer sleeve. - an inner container having a bottom wall extending in a horizontal plane, and side walls extending from the bottom wall in a vertical direction perpendicular thereto and defining a dispensing opening opposite the bottom wall, the side walls of the inner container surrounding a supporting surface for supporting a stack of interfolded napkins, and - an outer sleeve comprising a dispensing mouth, the outer sleeve forming at least one open end portion being arranged to receive the inner container such that the inner container is insertable into the outer sleeve along an insertion direction extending in parallel to said horizontal plane, - the dispensing opening and the dispensing mouth both extend along said insertion direction, - the dispensing mouth forms an open end towards said open end portion of the sleeve; and, - the supporting surface is biased towards the dispensing opening of the inner container and vertically movable inside the inner container between a lower position adjacent the bottom wall of the inner container, and an upper position adjacent the dispensing opening of the inner container, and at a distance from the inner periphery of the outer sleeve, forming a space between the upper position and the dispensing mouth, wherein said upper position is determined by at least one horizontally extending tab arranged in the inner container at a vertical distance from the dispensing mouth of the outer sleeve, - and, at least in a region adjacent the open end of the dispensing mouth, the outer contour of the upper ends of the side walls of the inner container deviates from the inner periphery of the sleeve, forming an access opening to the space between the upper position and the dispensing mouth, when the inner container is located inside the outer sleeve.