The state Senate will hold a vote on a bill that would extend access to driver’s licenses to undocumented immigrants living in New York, a source familiar with the matter said on Sunday.

News of the vote was first reported by The Wall Street Journal.

The measure, known as the Green Light bill, previously passed this month in the Assembly. Both chambers are controlled by Democrats.

The Legislature is scheduled to conclude the legislative session on Wednesday and negotiations continued through this weekend on major issues left unresolved.

The bill has been long sought by immigration advocates, who argue the measure has merits that boost traffic safety and insurance while also enable undocumented immigrants to drive to work.

But the issue has long stoked political controversy. In 2007, then-Gov. Eliot Spitzer proposed and later withdrew a similar plan.

County clerks who operate local Department of Motor Vehicles offices have pledged to not issue licenses to anyone living in the United States illegally.

State Democratic Committee Chairman Jay Jacobs has cautioned Senate lawmakers against the bill, worrying about the political fallout in suburban and upstate districts if it’s approved. But the bill has gained momentum in recent days after it won the backing of Long Island Sen. Anna Kaplan.

Gov. Andrew Cuomo is supportive of the measure and has said he would sign it if it passes. On Friday, Cuomo raised concerns with the legislation in a radio interview, pointing to the potential of federal immigration officials to use lists generated by the DMV for enforcement actions.