A subject-matter of the present invention is a composition for dyeing keratinous fibers, in particular human keratinous fibers, such as the hair, comprising: —at least 25% by weight of at least one fatty substance not comprising a carboxylic acid functional group —at least one aminopyrazolopyridine oxidation base chosen from the bases of formula (I), the bases of formula (II) and their addition salts, their solvates and the solvates of their salts: —at least one coupler and —at least one oxidizing agent. The composition of the invention is suitable for use in oxidation dyeing and results in a coloration with shades which are varied, intense or chromatic, powerful, attractive, not very selective and highly resistant to the various assaults which the hair may be subjected to, such as shampooing operations, sweat, permanent reshapings and light. In particular, it makes it possible to obtain an optimized color result with a good power, a good dyeing capacity and a good equal depth.
