Yes. Once a claimant wins a SSD case, he or she gets Medicare just like a person on retirement gets. After the SSD claim is approved, the claimant gets Medicare after 29 months of being disabled. If a claimant wins a SSI case, he or she gets Medicaid immediately as there is no waiting period for Medicaid. It should be noted that if your SSD check is quite low, in some cases, a claimant can receive disability and SSI both, which will allow them to receive Medicaid and Medicare. This is a complicated process and an attorney can explain how this works for people who qualify for both.