The present invention relates to a process for dyeing keratin fibres in which a mixture is applied, this mixture being obtained from: • a dye composition comprising at least one oxidation dye precursor and at least a liquid fatty substance, and • an oxidizing composition comprising at least one chemical oxidizing agent, • at least one of the compositions being dispensed from a pressurized container, • the mixture of the two compositions comprising at least one branched C6-C12 polyol, and also to equipment suitable for performing this process.
