Jeffrey Epstein’s estate is being hit with so many lawsuits it has hired the former head of the 9/11 Victims Compensation Fund to steer a first-of-its-kind program to settle with his “victims.”

The estate filed papers in the Superior Court of the US Virgin Islands — where Epstein’s will was also filed before his death — seeking “expedited approval” for a confidential claims resolution program.

It is believed to be the first “mass tort-type program,” the papers say.

The estate, valued at $577 million, wants the court’s permission to use its coffers to pay a specialist team of litigators — headed by Jordana Feldman, who was previously Deputy Special Master of the 9/11 fund.

The program aims to start accepting claims in 90 days and will be run out of New York, where most of the accusers are based.

At least 12 lawsuits have been filed in Manhattan federal and state courts — and more are expected “in various jurisdictions including New York, Florida, New Mexico and France,” the court papers say.

The program aims “to timely resolve these claims through a process that is sensitive to the experiences and concerns of claimants and treats them with compassion, dignity and respect,” according to the filing.

It offers “victims of sexual abuse access to a confidential claims resolution process that does not entail the rigors and publicity of litigation,” according to the documents.

The estate will not be able to contest the team’s decisions. Accusers who take money, however, will waive their right to take the estate to court in the future, administrators said.

“This important program will offer victims the opportunity to obtain long-overdue compensation, to be heard and treated with the compassion, dignity and respect they deserve, and to achieve some measure of justice and validation that has eluded them for so many years,” Feldman said in a statement Thursday.

“The claims resolution process will be fair, prompt, and non-adversarial, and will provide victims with a meaningful alternative to years of protracted civil litigation and its associated costs, risks and uncertainties.”

It is believed to be the first “mass tort-type program for achieving the fair, independent determination and resolutions of sexual abuse claims filed by multiple claimants against a decedent’s estate,” the court papers claim.

“We are … eager to begin designing it so that claimants will have a forum where their suffering is acknowledged and their claims are promptly and appropriately compensated,” said Kenneth Feinberg, another of the three administrators in charge.

Epstein’s estate has been inundated with lawsuits from women who say they were abused by the convicted pedophile — who depositions claim required sex at least three times daily.

Brad Edwards, an attorney for some of the accusers, called the new program a “positive step.”

“In the meantime, we intend to get the filed cases to trial quickly. Either way, justice for our clients, without delay, is our goal,” he told The Post.

Another attorney involved in accusers’ lawsuits, Roberta Kaplan, stressed that the process needs “accurate accounting” of Epstein’s assets as well as a “fair process for survivors to make claims.”

“Given that this was launched without our consent — despite multiple requests for that to happen — we will keep an open mind,” Kaplan said.

“But both the Estate and the new administrators have a lot to prove.”

Queens accuser Jennifer Araoz is “supportive” of the plan — but still wants to press on with her lawsuit under the new Child Victims Act, her attorney, Daniel Kaiser, said in a statement.

“Each victim … must make an individual decision as to how to best pursue legal remedies for their injuries,” Kaiser said.

“Jennifer has decided that the best legal course of action for her is her court action filed in New York State court as a result of the fact that she still has a current claim under the Child’s Victims Act.”

The estate’s plan was confirmed on the same day that another attorney, Lisa Bloom, appeared on TV’s “Dr. Oz” and claimed that a “dozen victims” had been in touch about joining her legal actions over Epstein.

“He may have escaped it on the criminal side — he’s not going to escape it, in death, on the civil side,” she told the show.