Medicare Part B does cover caregivers in some situations. Generally, Medicare Part B will cover a caregiver only if no hospital stay is involved. If the care results from a hospital stay, then it will be covered by Medicare Part A. In addition, the caregiver must come from a Medicare-certified home health care agency. You must also be declared homebound by your doctor and require part-time care specified in a care plan created by your doctor. If these criteria are met, then Medicare Part B will cover a caregiver.