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Healthcare workforce management faces persistent challenges, including staffing shortages, clinician burnout, skill misalignment, productivity pressure, and turnover. Machine learning has been proposed as a way to support earlier prediction, better allocation, and more responsive workforce decision-making. This systematic review synthesizes peer-reviewed evidence from 2017 to 2025 on machine learning applications in healthcare workforce analytics. The review focuses on staffing prediction, burnout detection, skill matching, productivity monitoring, and retention risk forecasting. A PRISMA 2020-aligned review approach was used to structure database searching, screening, eligibility assessment, and narrative synthesis. The review considered studies from PubMed, Scopus, IEEE Xplore, and Web of Science, with emphasis on workforce-relevant outcomes and healthcare operational settings. Staffing prediction and burnout detection were the most developed domains in the reviewed literature. Skill matching and productivity monitoring were less mature, while retention risk forecasting showed growing interest but limited implementation evidence. Machine learning offers useful tools for healthcare workforce analytics, but the evidence base remains uneven. Stronger prospective validation, fairness assessment, and implementation reporting are needed before these models can be considered mature workforce decision-support systems.