The state will receive the same amount of money from the federal Medicaid program - more than $5 billion per year.
"For New Jersey, it's very positive, very exciting," Velez said.
The U.S. Centers for Medicare and Medicaid Services rejected other requests Gov. Christie's administration made, including eliminating retroactive Medicaid eligibility and reimbursing the state $107 million for Medicare-covered services wrongly billed to Medicaid.
Velez and state Health Commissioner Mary O'Dowd said in a conference call that they had been working with the groups that will be affected and expected changes to be swift, but did not have a precise timeline.
With the changes, people receiving Medicaid will be moved to a new managed-care system.
Velez said one major benefit for recipients is that the new system will not have a bias toward institutionalization.
She said that means Medicaid money could be used to provide at-home services that are now available only in nursing homes. While it will likely delay people's moves to nursing homes, she said, the program will not mean moving frail people out of nursing homes.
Similar changes are also in store for children and adults diagnosed with developmental disabilities.
The plan also would change the way hospitals receive part of their federal subsidies.
O'Dowd said the federal government intended to stop giving the state about $128 million annually in matching money for hospital subsidies. Under the new program, the state will continue to receive the money but will award it differently. Hospitals will receive the money as rewards for improvement goals they set rather than simply for seeing patients.
O'Dowd said Texas and California are taking similar approaches.
Hospitals will continue to be reimbursed separately for treating Medicaid patients.