State lawmakers may not accomplish anything before they are scheduled to leave the Capitol for the year by the middle part of next week, Gov. Andrew Cuomo said in a phone conference call on Friday with reporters.

But Cuomo said the Legislature could and very may return later this year in a rare special session to take up unfinished business such as extending mayoral control of New York City schools, an extension of local taxing authority for New York City and sales tax extenders for local governments.

“If I were betting, I would bet right now the plan would be to come back at the end of the year to do the sales tax extenders and see if there’s any movement on mayoral control,” Cuomo said.

At the same time, Cuomo was similarly pessimistic an agreement could be reached on the Child Victims Act, which would extend the statute of limitations for the survivors of child sexual abuse and make it easier for them to file lawsuits.

“I’d be hoping to working on a compromise,” said Cuomo, who introduced a program bill this week on the measure. “I’m not highly optimistic about the passage of the Child Victims Act, but hope springs eternal.”

Lawmakers are due to leave Albany on Wednesday, but remain at odds over those key measures.

The Democratic-led Assembly in May approved a bill that would extend mayoral control of New York City schools by two years along with a package of local tax extenders. Mayoral control expires at the end of the month.

The Republican-controlled Senate, meanwhile, backs extending mayoral control, but also wants to strengthen and expand charter schools in the state — a premise that is backed by the governor in a NY1 interview on Thursday.

Assembly Speaker Carl Heastie, a Bronx Democrat, is staunchly opposed to any mayoral control agreement that also includes a charter school provision.

“Where we’re at right now,” Cuomo said, “mayoral control does not have the support to pass.”

Special sessions of the Legislature are increasingly rare. An agreement to hold one in December that could have paved the way for the first legislative pay increase since 1999 failed to materialize at the end of the year.

Meanwhile, local governments typically complete their budgets in the fall to early winter, meaning a special session would have to be held early enough to allow them to plan for the extenders being approved.