A positive-working lithographic printing plate precursor is disclosed comprising on a grained and anodized aluminum support having a hydrophilic surface or which is provided with hydrophilic layer, a coating comprising: (i) an infrared absorbing agent and at least one colorant; (ii) a first layer comprising a heat-sensitive oleophilic resin; and (iii) a second layer between said first layer and said hydrophilic support wherein said second layer comprises a polymer comprising at least one monomeric unit that comprises at least one sulfonamide group; wherein the surface of said grained and anodized aluminum support has a mean pit depth equal or smaller than 2.2 μm.