The present invention relates to a process for dyeing keratin fibers in which a mixture is applied, this mixture being obtained from: ⋅a dye composition comprising at least one oxidation dye precursor, 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 saturated or unsaturated C8-C40 fatty alcohol comprising from 1 to 10 mol of glycerol, preferably from 1 to 5 mol of glycerol and/or at least one oxyalkylenated carboxylic acid ether in acid or salified form, and also to a device suitable for performing this process.