If you're covered by your spouse's health insurance, you will likely lose your coverage once the divorce is finalized. Sometimes, as part of the divorce settlement, a spouse will be required to maintain health insurance for the other spouse for a period of time. You can also sign up for a COBRA plan, which will allow you to keep your health insurance for a limited time after divorce, but it is typically very expensive. You may also be eligible for Medicaid if you meet certain income requirements. Medicaid is a government-funded health insurance program that provides coverage for low-income individuals and families.