Health care in Brooklyn may soon get some intensive care.

The state budget includes nearly $1 billion in construction aid that could go to building a new hospital, state officials said.

A new Brooklyn hospital “will be one of the applications” for funding, Danny Shepard, deputy director of the state Health Department, said during a planning council meeting last week.

Some of the funds will also be used to prop up Brooklyn’s financially ailing hospitals — Brookdale, Interfaith, Kingsbrook Jewish and Wyckoff Heights — and to increase access to primary- and preventive-care clinics.