The present invention relates to a composition for dyeing keratin fibres comprising: one or more oxidation dyes one or more basifying agents one or more non oxyalkylenated fatty substances that are liquid at room temperature in a content of less than or equal to 20% by weight relative to the total weight of the composition one or more oxidizing agents one or more oxyethylenated fatty alcohols with a number of oxyethylene units of greater than or equal to 10 one or more oxyethylenated fatty alcohols with a number of oxyethylene units of less than 10 one or more non oxyethylenated fatty alcohols that are solid at room temperature and one or more cationic polymers. The present invention also relates to a process for dyeing keratin fibres using such a composition and also to a kit for preparing the said composition.
