ALBANY — State prison inmates may finally be guaranteed placement near their kids, thanks to the Democratic-controlled legislature installed a few months ago.

A revived Assembly bill calling for the measure is expected to move out of committee Tuesday. And a similar one has already made it out of Senate committee — a first.

“This is the first year that we can get some traction, and I think when you’re talking about [lower] recidivism and full re-entry [into society], there’s a bipartisan thought process, and it’s palatable to rally around,” Assemblywoman Nily Rozic (D-Queens) told The Post of the committee bill she sponsored, noting what experts say are two benefits to the move.

The bills — versions of which previously languished for years — would still have to be approved by legislative leadership to even make it to the floor for a full vote. But their backers are hopeful, given what they call the current leaders’ penchant for criminal-justice reforms.

Rozic said she believes that she and the bill’s co-sponsors have made the changes they need to win enough support.

“We have some amendments that we made that will give it a nice balance between what is feasible for incarcerated families and DOCCS [Department of Corrections and Community Supervision],” she said.

For example, the Assembly’s amended legislation allows families to opt in.

It also calls for DOCCS to develop “procedures and criteria for assessing such placement” and mandates an annual report be produced to keep tabs on families.

Rozic said her staff has been talking with the state Senate’s sponsor, Sen. Valmanette Montgomery (D-Brooklyn) about changes to that bill.

More than 100,000 New York kids have a parent in prison, a situation recognized as an “Adverse Childhood Experience” by the federal Centers for Disease Control.

Studies also show inmates who have frequent visitors are less likely to be repeat offenders.

Incarcerated parents were 13 percent less likely to commit a felony and 25 percent less likely to be back behind bars thanks to parole violations, according to the nonprofit Osborne Association, which deals with families impacted by the criminal justice system.

There are 46,900 prisoners housed in the New York’s 54 facilities, and 36,344 parolees under supervision.

Rozic admitted that there are practical challenges to the proposed measure.

“There might be a situation where we can’t accommodate every case. It’s unfortunate, but that’s the reality,’’ she said. “For example, there’s only a certain amount of beds for women, so it is harder.”

There are 51 state prisons for men across the Empire State but only three solely for females: the Albion Correctional Facility near Rochester and the Hudson Valley’s Taconic Correctional Facility, both of which are medium-security, and Westchester’s Bedford Hills Correctional Facility, a maximum-security.

Assemblyman Joe Giglio (R-Buffalo) — the ranking Republican on the Assembly Corrections Committee — said that’s a big concern.

“It’s a well-intentioned idea, as it’s very hard on the families, but it’s not a real practical idea in some ways,” he said of Rozic’s bill.

“I think the best way is to work with the governor’s office and commissioner of Corrections and Community Supervision to find a way to make it work, especially if someone demonstrates the need.

DOCCS “does not comment on proposed legislation” according to spokesman Thomas Mailey.

However, there is a process in place for families to request transfers.

Giglio said, “Of course we would like to make it easier and give inmates some hope about what’s in the future. We want them to see that light at the end of the tunnel. But it must be something that would help keep order and security in our facilities, as they can be dangerous places.”

He said he needs to read the amended bill before deciding which way to vote.

Both bills have to be put to the floor of the two chambers for a full vote by the end of this legislative session, June 19, or they expire.