oil-free
From Longman Dictionary of Contemporary Englishoil-freeˌoil-ˈfree adjective an oil-free liquid, skin treatment etc contains no oil an oil-free sun lotionExamples from the Corpusoil-free• The cool, oil-free lotion, they say, instantly lifts beard hairs while protecting the skin against irritation.• It's an oil-free, weekly intensive conditioner.