A method for winding up a glass ribbon is provided, in which, prior to winding up the glass ribbon, the two surfaces of the glass ribbon are each initially treated with a water-containing medium and subsequently dried so as to produce a defined content of water molecules on the two surfaces, by achieving a saturation of the surfaces of the glass ribbon with water, without bringing about an excess of water molecules. A glass roll is produced in which the electrostatic charge of the glass surface is reduced and, as a result, any undesired excess adherence of the glass surface to an interleaf material is prevented and, in this way, glass breakage, in particular during winding up and/or unwinding of the glass roll, can be markedly reduced.