An aluminum-containing substrate can be provided for use in lithographic printing plate precursors. Before radiation-sensitive layers are applied, a grained and sulfuric acid anodized aluminum-containing support is treated with an alkaline or acidic pore-widening solution to provide its outer surface with columnar pores. The diameter of the columnar pores at their outermost surface is at least 90% of the average diameter of the columnar pores. Directly on this treated surface, a hydrophilic layer is applied, which hydrophilic layer contains a non-crosslinked hydrophilic polymer having carboxylic acid side chains.