A method of treating a coreless rolls of absorbent paper product such as toilet tissue so as to make it easier for a user to center a winding axis of the coreless roll with respect to a dispenser. The method includes the steps of: (a) positioning a tool adjacent to at least one side of the coreless roll so that the tool is substantially centered with respect to the winding axis of the roll; and (b) pressing the tool into the side of the roll to form a visible depression in the side of the roll that is centered with respect to the winding axis of the roll, the tool being wetted prior to completion of the step of pressing the tool into the side of the roll. An embodiment of the invention encompasses the step of wetting the roll prior to pressing the tool into the side of the roll.