Yes. Exactly how this works varies with the circumstances. The State can recover some of their expenses by making a claim against the house after the recipient dies. If there is a spouse living in the house, then the claim cannot be made until after that spouse dies or sells the house.
There are exceptions, if there is a disabled child in the picture, or it is the source of income for family members (as a farm might be) or if a relative provided care for a certain length of time and kept the recipient out of a nursing home for that period. There are probably other exceptions.
But in general, the State can make a claim against the proceeds of the sale of the house, after the Medicaid recipient dies.
my husband is on Medicare and receiving Medicaid, we rent the apartment. If I wanted to buy it in my name only would medicaid come after the property if he dies.
There are exceptions, if there is a disabled child in the picture, or it is the source of income for family members (as a farm might be) or if a relative provided care for a certain length of time and kept the recipient out of a nursing home for that period. There are probably other exceptions.
But in general, the State can make a claim against the proceeds of the sale of the house, after the Medicaid recipient dies.