Edwards, who represents some of Epstein's alleged victims, had planned to put some of them on the stand if the lawsuit had gone to trial.
Because of the settlement, which included an apology from Epstein and the payment of an undisclosed sum, that won't happen.
But lawyers for the accusers are continuing to wage a separate battle in federal court to get Epstein's plea bargain thrown out and expose him to prosecution again.
Edwards said the alleged victims — some of whom say they were 13 or 14 when they were molested — may yet get their day in court amid the national #MeToo movement that seeks to hold sexual harassers and abusers to account.
"They're willing to talk. They want to share their stories," Edwards said.
The non-prosecution deal protecting Epstein was negotiated by federal prosecutors in South Florida and approved by then-US Attorney Alexander Acosta, who is now President Donald Trump's labour secretary.
Epstein could have faced a possible life sentence if federal prosecutors had pursued a draft 57-page indictment that was never filed.
Instead, under the deal, Epstein pleaded guilty in 2008 to two sex-related state charges, served 13 months in jail, paid financial settlements to many of the accusers and registered as a sex offender.
The plea agreement did not become public until several years later. Some of Epstein's accusers are now arguing that their rights were trampled under a federal law that says crime victims must be informed about plea bargains.
One of Epstein's lawyers, Roy Black, said in court papers that there was no conspiracy to violate victims' rights, and the plea bargain "was no sweetheart deal by any stretch of the imagination."
Epstein at the time had a Palm Beach mansion where authorities say many of the girls were brought for sexual encounters.
Before the scandal broke, Epstein's friends included Trump, who told interviewers Epstein was "a great guy."
Records show former President Bill Clinton flew on Epstein's jet more than two dozen times. Britain's Prince Andrew was another friend.
Epstein's legal team at various times included such big names as Whitewater prosecutor Kenneth Starr and Harvard professor Alan Dershowitz.
Neither Trump nor Clinton has been accused of any wrongdoing related to Epstein.
Acosta has not commented about the case during recent news coverage surrounding the lawsuit. He was asked briefly about the non-prosecution agreement at his Senate confirmation hearing to be labour secretary.
"At the end of the day, based on the evidence, professionals within a prosecutor's office decided that a plea that guarantees someone goes to jail, that guarantees he register (as a sex offender) generally and guarantees other outcomes, is a good thing," he replied.
- AP