The present invention relates to a process for dyeing keratin fibres, in particular human keratin fibres such as the hair, comprising the successive application to said fibres (i) of a composition (A) containing at least one peroxygenated salt and (ii) of a substrate including a surface totally or partially coated with at least one layer containing one or more oxidation dyes; said process does not use any hydrogen peroxide during the application of the substrate to the fibres.