The present disclosure relates to an exhaust-gas turbocharger for a supercharged internal combustion engine having a charge-air cooler. In order to prevent the formation in the charge-air-guiding parts of condensate which above a certain quantity, if it remains within the charge-air-guiding parts, leads to damage to the engine, such as, for example, ice formation, water shock or corrosion, it is proposed to provide a condensate outlet opening on the compressor of the exhaust-gas turbocharger, which opening is provided in a lowermost region of a charge-air flow path through the compressor.