ALBANY, N.Y. — Faced with mounting criticism over the slow pace of the coronavirus vaccine rollout, New York Gov. Andrew Cuomo says that starting next week, the state will allow a much wider swath of the public to get inoculated, including anyone age 75 or older.

The governor warned Friday that initially, the supply of vaccines available to people other than health care workers and nursing home patients will be very limited.

Cuomo says a beefed up statewide distribution network will include pharmacies, doctors’ networks and county health departments. The 3.2 million New Yorkers newly eligible for the vaccine includes teachers, first responders and public safety workers.

The announcement came as many local officials argued it was time to distribute the vaccine beyond health care workers.