(Reuters) – Members of the Sackler family who own Purdue Pharma LP are nearing an agreement to boost their more than $4 billion offer to resolve sprawling opioid litigation after negotiating with states that had objected to terms of the OxyContin maker’s bankruptcy reorganization, according to a court filing.

Sackler family members and states objecting to terms of Purdue’s bankruptcy reorganization are “close to an agreement in principle” to contribute additional cash beyond the $4.325 billion they had pledged to settle opioid litigation, according to a mediator’s interim report filed on Monday.

The mediation kicked off in January among Sackler family members and several states after a U.S. district judge overturned the original settlement, which was the cornerstone of Purdue’s bankruptcy reorganization plan.

(Reporting by Mike Spector in New York; writing by Tom Hals in Wilmington, Delaware; Editing by Bill Berkrot)