A method for making a lithographic printing plate is disclosed which comprises the steps of: (i) providing a negative-working, heat-sensitive lithographic printing plate precursor comprising a support having a hydrophilic surface or which is provided with a hydrophilic layer and a coating provided thereon, the coating comprising an image-recording layer which comprises hydrophobic thermoplastic polymer particles and a hydrophilic binder, wherein the hydrophobic thermoplastic polymer particles have an average particle size in the range from 45 nm to 63 nm and wherein the amount of the hydrophobic thermoplastic polymer particles in the image-recording layer is at least 70% by weight relative to the image-recording layer; (ii) exposing the coating to heat or infrared light, thereby inducing coalescence of the thermoplastic polymer particles at exposed areas of the coating; (iii) developing the precursor by applying an aqueous, alkaline solution, thereby removing non-exposed areas of the coating from the support, wherein the aqueous alkaline solution has a pH.gtoreq.11 and comprises a phosphate buffer or a silicate buffer.