The rapid adoption of DevOps in healthcare software delivery has exposed gaps in traditional compliance workflows, where regulatory controls are applied after deployment rather than integrated within build, test, and provisioning stages. This paper proposes a continuous compliance model that embeds HIPAA safeguards directly into CI/CD pipelines, combining static analysis, secrets enforcement, PHI tokenization checks, access policy validation, and automated infrastructure hardening using infrastructure-as-code. These mechanisms operate alongside secure deployment gates to enforce encryption, audit logging, and runtime controls prior to release. The resulting architecture shifts HIPAA compliance from a reactive auditing process to a proactive automation function that reduces human error, improves traceability, and standardizes enforcement across iterative releases. By integrating compliance artifacts as programmable components of DevSecOps workflows, healthcare engineering teams can increase deployment velocity without compromising regulatory integrity or data protection obligations.