OKLAHOMA CITY â If Gov. Kevin Stitt can follow through with his plans, the stateâs Medicaid recipients may find themselves dealing with private companies in the future. Medicaid benefits in Oklahoma are dispersed through SoonerCare. Stitt wants to privatize SoonerCare, and officials including Secretary of Health Kevin Corbett say the controversial effort was spurred by Oklahoma votersâ insistence that the state accept the federal Medicaid expansion. On Jan. 29, state officials awarded $2.1 billion in health insurance contracts and the bulk of Oklahomaâs Medicaid program to Blue Cross and Blue Shield of Oklahoma, Humana Healthy Horizons, Oklahoma Complete Health â a subsidiary of Centene â and United Healthcare. They become effective Oct. 1.