Examples include cooling members for electronic components and/or methods for producing cooling members. The members may include: an assembly side for an electronic component and an upper side opposite the assembly side; at least one cooling chimney extending through the cooling member away from the assembly side which leads to an outlet opening in the upper side of the cooling member; and a number of cooling channels. The cooling channels may have a smaller cross-section than a cross-section of the cooling chimney which lead from inlet openings in the upper side of the cooling member to the cooling chimney.