The subject of the invention is a composition for treating keratin fibers, comprising one or more oxyalkylenated fatty amide(s) of formula (I), one or more oxyalkylenated fatty alcohol(s), and one or more chemical oxidizing agent(s); it being understood that the oxyethylenated fatty alcohol(s)/oxyethylenated fatty amide(s) of formula (I) weight ratio is less than or equal to 1 and that the pH of the composition is less than or equal to 5.