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With Electronic Medical Records being the buzzword in hospitals, there are plenty of EMR opportunities. Also, hospitals are often in need to systems analysts, network engineers, information/data analysts, software developers, project managers, business analysts, quality assurance (QA) specialists and strategic consultants.
Medical informatics is a rapidly expanding field. With the advent of new regulations in the Healthcare Sector (e.g., HIPAA) and other developments, the need for IT skills are at an all-time high. If I were in your shoes, I would peruse the Jobs section of hospital networks that you might be interested in working for. Look for specific skills that they are asking for, whether it's AIX, Solaris, VMWare, or others. Work toward getting certifications to fill the "gaps." It also helps to become familiar with Medical Informatics terms, and network (Linkedin) with folks in that area.