ALBANY – Despite the federal government shutdown, state officials say they see no immediate furloughs coming among the nearly 10,000 state employees whose salaries are funded in whole or part by federal money.

The state budget adopted earlier this year includes a table listing the number of state employees with paychecks funded by Washington at 9,775. A large share of them – 3,291 workers – are employed at the state Department of Labor, although the state Education Department has 1,301 federally funded workers and the Office of Temporary and Disability Assistance lists 990 workers funded by the federal government. The Health Department has 1,191 federally funded employees.

The Cuomo administration declined to comment.

But Jennifer Freeman, a spokeswoman for State Comptroller Thomas P. DiNapoli, said most of the federally funded salaries are already funded through the fiscal year, though some had funds available only until the end of September. “If there is a prolonged shutdown, then states will have to evaluate what they’re going to do,” she said.

Freeman said that in a limited number of cases where federal funds have not been sent in advance, the state may have to consider floating Washington the money for the workers’ salaries until the shutdown dispute is resolved.

Other state agencies with more than 200 workers on the payroll funded by the federal government include Corrections, Children and Family Services, Information Technology, Environmental Conservation, Medicaid Inspector General, and the Division of Military and Naval Affairs.

The number of state workers funded by the federal government in the 2013 budget – 9,775 – is up from 8,505 positions in 2011, according to the state’s enacted budget plan.

The Comptroller’s Office listed the number of federal employees in New York State at 116,000.

Social programs, though, are likely to be affected by a prolonged shutdown, including child nutrition, social services block grants, temporary assistance for needy families and low-income energy-assistance grants.

Other programs, such as Head Start, depend on the time period of the beginning of a grant. The state’s largest health care program, Medicaid, is prefunded by Washington for the first quarter of the federal government’s fiscal year, the Comptroller’s Office said.