The invention relates to a process for dyeing keratin fibres, especially the hair, using i) at least one resorcinol derivative, ii) at least one particular sulfate salt, iii) at least one oxidizing agent and iv) at least one basifying agent. Another subject of the invention is a cosmetic composition for dyeing keratin fibres, comprising ingredients i) to iv) as defined previously. Another subject of the invention is a multi-compartment device comprising ingredients i), ii), iii) and iv). This dyeing process affords better colorations, which are chromatic, strong and fast, without the use of oxidation bases such as para-phenylenediamines and para-aminophenols.
