The present invention relates to a dye composition comprising: * at least one oxidation dye precursor； * at least one polycondensate of ethylene oxide and of propylene oxide having the structure (A) below H—(O—CH2CH2)a—(O—CH(CH3)—CH2)b—(O—CH2CH2)a′—OH (A) in which formula a ranges from 2 to 150 and b ranges from 1 to 100； and * at least one oxyethylenated rapeseed fatty acid amide comprising from 1 to 20 mol of ethylene oxide； * the oxyethylenated rapeseed fatty acid amide(s)/polycondensate(s) of formula (A) weight ratio ranging from 1 to 20. The invention also relates to a dyeing process using this composition (free of oxidizing agent) after mixing with a composition comprising an oxidizing agent. Another subject of the invention is a two-compartment device, the first compartment comprising the composition according to the invention, free of oxidizing agent, and the second compartment containing a composition comprising at least one oxidizing agent.
