New Immigrant Health Insurance A Plan For Green Card Holders of USA What is New Immigrant Health Insurance? For new immigrants and green card holders, many conditions may impact your eligibility for various domestic health insurance policies in the USA. These factors potentially make it tricky for green card holders or new immigrants to find the right new Immigrant insurance plan to get adequate healthcare coverage. Travel medical insurance will offer you temporary coverage if you are a new US immigrant and entering the US for the first time, or a green card holder but living outside of the US willing to visit the US for a short span. Choosing a proper new Immigrant insurance plan begins with determining your eligibility.