Composition (I) comprises: (A) at least 25% of one or more fatty substance (B) one or more oxidation bases comprising N,N-bis beta -hydroxyethyl paraphenylenediamine or its addition salts with a corresponding acid (C) one or more additional dye precursors different from the oxidation base (D) one or more oxidizing agents and optionally (E) one or more alkaline agents. Independent claims are included for: multi-compartment device comprising: a first compartment containing a composition comprising one or more fatty substances, a second compartment comprising N,N-bis beta -hydroxyethyl paraphenylenediamine, one or more dye precursors and one or more alkaline agents and a third compartment comprising one or more oxidizing agents, where the third compartment contains a fatty substance, dye precursors, oxidizing agents and alkaline agents a first compartment containing a composition comprising one or more fatty substance, and one or more oxidants and a second compartment comprising N, N-bis beta -hydroxyethyl paraphenylenediamine, the dye precursors and alkaline agent, fatty substance, dye precursor, oxidizing agent and/or alkaline agent or a first compartment containing a composition comprising one or more fatty substance, N, N-bis beta -hydroxyethyl paraphenylenediamine, or the additional dye precursors, alkaline agent and a second compartment containing one or more oxidizing agents, fatty substance, dye precursor, oxidizing agent and/or alkaline agent.La présente invention a pour objet une composition pour la teinture doxydation des fibres kératiniques, et en particulier des fibres kératiniques humaines telles que les cheveux, comprenant,A) au moins 25 % de corps gras,B) une ou plusieurs bases doxydation choisies parmi la N,N β-hydroxyéthyl paraphénylène diamine et les sels daddition avec un acide correspondants,C) un ou plusieurs précurseurs de colorant additionnels différents de la base doxydation définie sous B),D) un ou plusieurs agents oxydants et éventuellementE)