To transition from a network service specialist to a cloud professional, one should acquire cloud certifications (e.g., AWS Certified Solutions Architect, Microsoft Azure Administrator), gain hands-on cloud experience through projects or internships, learn cloud computing concepts and architectures, develop scripting and automation skills (e.g., Python), and join cloud-related communities for networking and learning opportunities.
If you are interested in getting into this field, then check this video about Devayan Mukherjee and how he successfully switched his career from a Network Specialist to a Cloud Computing professional with a good salary hike just after completing Intellipaat's Advanced Certification in Cloud Computing.