This area of work is generally referred to as 'Information Security', and is a fairly narrow specialism, revolving around securing and monitoring of servers, networks and data, threat intelligence and intrusion testing and remediation.
Because it is a highly specialised area, it is not common to get into it via transferring from another area in the same organisation but by gaining vocational qualifications such as CompTIA Security +
CompTIA Security+ Certification
Studying for such a qualification will provide a good grounding in skills and focus on tasks inherent in the field, and gaining the certification is an industry-wide acknowledgment of attainment of the necessary background and technological knowledge.
I wouldn't recommend university courses at bachelor or masters level because these are often regarded by employers as outdated, given that technology and knowledge skills in this field move very rapidly, and university courses are simply not nimble enough to keep up.
Some employers may look to hire junior-level Information Security Analysts, where only basic IT skills, or skills in other areas of IT such as network administration are all that are required, and then sponsor appropriate vocational training for successful candidates, but where this was very common as Information Security grew apart from the broader role of systems management, there are somewhat less of these opportunities now.
It is a fascinating area of work, and there are plenty of courses available, including online video such as
Professor Messer's CompTIA SY0-401 Security+ Training Course | Professor Messer IT Certification Training Courses which may not be good enough to help you gain the qualification in their own right, but should provide you a depth of insight into the field to determine if it is for you or not.
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