The present invention relates to a composition for dyeing keratin fibres, in particular keratin fibres such as the hair, comprising: at least one oxidation base 3-(2,5-diaminophenyl)-1-propanol and/or acid salts thereof and/or solvates thereof such as hydrates; at least one particular coupler; optionally at least one fatty substance; optionally at least one basifying agent; and optionally at least one chemical oxidizing agent. The invention also relates to a process for dyeing keratin fibres such as the hair using the composition of the invention, and to a multi-compartment device for using the composition of the invention.