The invention relates to a coreless roll including of a sheet made of dry flexible material, such as an absorbent fibrous material, that is formed by the rolling of a sheet around a winding axis characterized in that it includes a center-feed (center unwinding) first strip forming a projection along the axis in relation to at least one part of the plane of one of the sides of the roll. In particular, this first strip is constituted by a portion of the internal end of the sheet constituting the roll. The first internal turn is thus permitted to unwind, even if the center opening is reduced.