Compositions for dyeing keratin fibers are described. Said dyeing compositions comprise, in a cosmetically acceptable medium, based on the total weight of the composition: (a) at least one anionic surfactant, (b) at least one cationic surfactant; (c) at least one alkoxylated C6-C24 fatty alcohol; (d) at least one C6-C24 fatty alcohol; (e) at least one oxidation dye, (f) about 0.1-10 wt. % of ammonia; wherein the compositions do not comprise more than 2 wt.% of alkanolamines, C1-C4 alkyl alkanolamines, or any fatty acid salt thereof, or mixtures thereof.These dyeing compositions present reduced ammonia odor and, at the same time, a faster color processing.A process for preparing these compositions, a process for permanent dyeing keratin fibers using these compositions and a packaging kit containing these compositions are also described.