Adding a baby to health insurance can result in an increase in the overall premium cost. The exact cost can vary depending on the specific health insurance plan, the coverage options, and the location. Typically, adding a baby to a health insurance plan may involve additional expenses such as co-pays, deductibles, and potential increases in monthly premiums. It's important to review the details of the existing health insurance plan and consult with the insurance provider to understand the precise cost implications of adding a baby to the coverage. Additionally, some employers may offer health insurance plans that cover dependents at no additional cost, so it's advisable to inquire about such options if applicable.