State lawmakers “are extremely close” to forging a deal on criminal just law changes that include ensuring a speedy trial, changing how evidence during discovery is handled and a curtailing of cash bail, Senate Majority Leader Andrea Stewart-Cousins said Thursday in a radio interview.

“We are extremely close, extremely close in the discovery, in speedy trial, a lot closer on bail,” she said on WNYC’s The Brian Lehrer Show. “We understand that what we do is going to impact the lives of so many people incarcerated. So we want to get it right. We want to make sure it really reforms the criminal justice system in ways that will protect the innocent and make sure that people who should be in jail are in jail.”

This is contrary to Gov. Andrew Cuomo’s public comments that the Legislature is far apart on the issue that he wants included in a final version of the state budget, due at the end of the month.

Stewart-Cousins, as well as legislators who want to see the changes made this session, have said they are trying to take their time in order to get the details “right” on the issue — satisfying both criminal justice advocates as well as prosecutors and law enforcement officials who raised concerns.

Meanwhile, the legalization of marijuana in the budget appears to be increasingly falling out of the talks.

“I’m interested in making sure that whatever we do we do it in a way that makes sense,” Stewart-Cousins said Thursday. “Obviously this is a new industry for us, it would be a new market for us. This is not a rush to make sure this just gets done.”