Most universities (in the UK) would not admit an international HND holder directly into a master’s degree. In rare cases, they may ask you to enrol on a Postgraduate Certificate course in the first instance. You can find more information here on our blog: https://studyoverseas.net/uk-masters-degree-course-with-your-nigerian-hnd/
However, most universities will require you to complete a pre-masters degree at their ‘study centre’ for international students including students from Nigeria. Some examples of study centres where you can complete a pre-masters are:
Lancaster University: https://www.lancasterisc.com/
Kingston University: https://www.kingstonisc.com/programmes/pre-masters
University of Sheffield: https://usic.sheffield.ac.uk/programmes/pre-masters
Sussex University: https://isc.sussex.ac.uk/our-courses/pre-mastersLet us know if you have any questions..