Dyeing composition comprising, in a dyeing medium appropriate for the dyeing of keratinous fibres, • one or more aminopyrazolopyridine oxidation bases of following formula (I'): in which: • Z 1 represents: - a simple covalent bond, - a divalent radical chosen from: - an -O(CH 2) p - radical, p denoting an integer ranging from 0 to 6, - an -NR' 6 q - radical, q denoting an integer ranging from 0 to 6, and R' 6 representing a hydrogen atom or a C 1 -C 6 alkyl radical optionally substituted by one or more hydroxyl groups, • R' 1 represents imidazoles substituted by a quaternary ammonium radical or imidazoliums, piperazines substituted by a quaternary ammonium radical or piperaziniums, pyrrolidines substituted by a quaternary ammonium radical or pyrrolidiniums, or diazepanes substituted by a quaternary ammonium radical or diazepaniums; a trialkylammonium, tri(hydroxyalkyl)ammonium, (hydroxyalkyl)dialkylammonium or di(hydroxyalkyl)alkylammonium group R' 3, R' 4 and R' 5, which are identical or different, represent: - a hydrogen atom, - an optionally substituted C 1 -C 4 alkyl radical, • X represents an ion or group of ions which makes it possible to provide the electronegativity of the derivative of formula (I'), • one or more couplers, and • one or more surfactants chosen from (C 8 -C 30)alkyl ether carboxylic acids and their salts, (C 12 -C 30)alkyl polyglucosides and mono- or polyglycerolated surface-active agents. • one or more aminopyrazolopyridine oxidation bases of following formula (I'): in which: • Z 1 represents: - a simple covalent bond, - a divalent radical chosen from: - an -O(CH 2) p - radical, p denoting an integer ranging from 0 to 6, - an -NR' 6 q - radical, q denoting an integer ranging from 0 to 6, and R' 6 representing a hydrogen atom or a C 1 -C 6 alkyl radical optionally substituted by one or more hydroxyl groups, • R' 1 represents imidazoles substituted by a quaternary ammonium radical or imidazoliums, piperazines substituted by a quaternary ammonium radical or piperaziniums, pyrrolidines substituted by a quaternary ammonium radical or pyrrolidiniums, or diazepanes substituted by a quaternary ammonium radical or diazepaniums; a trialkylammonium, tri(hydroxyalkyl)ammonium, (hydroxyalkyl)dialkylammonium or di(hydroxyalkyl)alkylammonium group R' 3, R' 4 and R' 5, which are identical or different, represent: - a hydrogen atom, - an optionally substituted C 1 -C 4 alkyl radical, • X represents an ion or group of ions which makes it possible to provide the electronegativity of the derivative of formula (I'), • Z 1 represents: - a simple covalent bond, - a divalent radical chosen from: - an -O(CH 2) p - radical, p denoting an integer ranging from 0 to 6, - an -NR' 6 q - radical, q denoting an integer ranging from 0 to 6, and R' 6 representing a hydrogen atom or a C 1 -C 6 alkyl radical optionally substituted by one or more hydroxyl groups, - a simple covalent bond, - a divalent radical chosen from: - an -O(CH 2) p - radical, p denoting an integer ranging from 0 to 6, - an -NR' 6 q - radical, q denoting an integer ranging from 0 to 6, and R' 6 representing a hydrogen atom or a C 1 -C 6 alkyl radical optionally substituted by one or more hydroxyl groups, - an -O(CH 2) p - radical, p denoting an integer ranging from 0 to 6, - an -NR' 6 q - radical, q denoting an integer ranging from 0 to 6, and R' 6 representing a hydrogen atom or a C 1 -C 6 alkyl radical optionally substituted by one or more hydroxyl groups, • R' 1 represents imidazoles substituted by a quaternary ammonium radical or imidazoliums, piperazines substituted by a quaternary ammonium radical or piperaziniums, pyrrolidines substituted by a quaternary ammonium radical or pyrrolidiniums, or diazepanes substituted by a quaternary ammonium radical or diazepaniums; a trialkylammonium, tri(hydroxyalkyl)ammonium, (hydroxyalkyl)dialkylammonium or di(hydroxyalkyl)alkylammonium group R' 3, R' 4 and R' 5, which are identical or different, represent: - a hydrogen atom, - an optionally substituted C 1 -C 4 alkyl radical, - a hydrogen atom, - an optionally substituted C 1 -C 4 alkyl radical, • X represents an ion or group of ions which makes it possible to provide the electronegativity of the derivative of formula (I'), • one or more couplers, and • one or more surfactants chosen from (C 8 -C 30)alkyl ether carboxylic acids and their salts, (C 12 -C 30)alkyl polyglucosides and mono- or polyglycerolated surface-active agents.