The present invention relates to a composition for dyeing keratin fibres, comprising a) one or more fatty substances other than the fatty alcohols b), which are preferably liquid and non-silicone, and b) one or more fatty alcohols comprising at least 20 carbon atoms, c) (2,5- diaminophenyl)ethanol； d) optionally one or more couplers； e) optionally one or more basifying agents； f) one or more chemical oxidizing agents such as hydrogen peroxide, and the content of fatty substances a) and b) in the composition representing in total at least 10% and preferably more than 25% by weight relative to the total weight of the composition. The present invention also relates to a process using this composition and to a multi- compartment device suitable for performing the said process.
