What are higher apprenticeships? A higher apprenticeship is equivalent to a foundation degree. Like any apprenticeship, it’s a full-time job with a study element. Advertisement. Why the ads? Advertisement. Why the ads? Can graduates do apprenticeships? If you already have a degree, you can either apply for a degree apprenticeship at postgraduate level, or at graduate level in a different field to your degree. Understanding degree apprenticeships A degree apprenticeship is a job combined with a university degree, meaning you’ll be working for an employer most of the time and studying at university or college for the rest.