What a great question, as these two fields of science and engineering are traditionally so different, but more and more organizations that focus on innovative approaches to healthcare are finding they absolutely need people who understand both. I transitioned from engineering to science, and in general, my experience was that employers generally look for individuals who have backgrounds in one or the other. However, if you have backgrounds in both science and engineering, you are positioned to be a very desirable candidate, especially in the technology industry. If you want to work as a biomedical engineer, then typically a bachelors degree in engineering plus work experience is sufficient. I don't think a masters in engineering would be required, as work experience is far more valuable. The transition can be quite significant, again because traditionally these fields are so different. Science is hypothesis and testing driven and can sometimes be biased or imprecise, whereas engineering is highly quantitative and detail-oriented such that sometimes the big picture is missed. Both have their strengths and challenges, but having cross-disciplinary literacy and skills can be extremely powerful. Go for it!!