Almost half of the 32.3 million nonelderly people who have no health insurance could gain coverage through their state’s existing Medicaid policy or a subsidized exchange plan, according to a survey from the Kaiser Family Foundation.

The federal government is hoping those uninsured will sign up for coverage during the Affordable Care Act’s upcoming open enrollment. The Congressional Budget Office estimates 33 million people will have a health plan through Medicaid, the Children’s Health Insurance Program or the exchanges by 2016, a large jump from the current 17.6 million people who have become insured under the ACA.