Abstract: In the context of a guide device for a narrowing gap between the two cylinders of a machine for processing sheet-like products, adapted to cooperate with each other during the transfer of the sheet-like products comprising a rotary member which is rotatably bearinged by means of lateral journals with an axis parallel to the cylinder and has a cylindrical outer surface, and at least one stationary connection member which is laterally adjacent to the said rotary member and has a surface configuration tangentially intersecting with a cylindrical outer surface of the rotary member, and in the case of which the rotary member and each connection member associated therewith are arranged so as to be adjustable in relation to the adjacent cylinders, a greater ease of operation is achieved inasfar as on at least one of the lateral journals of the rotary member, which is able to be moved by means of a setting device along an associated guide running sideways in relation to the axis of the rotary member, there is for eac