The Justice Department is nearing a $100 million settlement over its initial failure to investigate Lawrence G. Nassar, the former U.S.A. Gymnastics team doctor convicted of sexually abusing girls under his care, according to people familiar with the situation.

The deal, which could be announced in coming weeks, would bring an end to one of the last major cases stemming from a horrific sports scandal, with around 100 victims in line to receive compensation.

It comes two and a half years after senior F.B.I. officials publicly admitted that agents had failed to take quick action when U.S. national team athletes complained about Mr. Nassar to the bureau’s Indianapolis field office in 2015, when Mr. Nassar was a respected physician known for working with Olympians and college athletes. He has been accused of abusing more than 150 women and girls over the years.

The broad outline of the deal is in place, but it has not yet been completed, according to several people with knowledge of the talks, speaking on the condition of anonymity to discuss continuing negotiations.

The details of the settlement were reported earlier by The Wall Street Journal.

It is the latest in a series of big payouts that reflect the inability of institutions to protect hundreds of athletes — including the Olympic gold medalists Simone Biles, McKayla Maroney and Aly Raisman — from a doctor who justified his serial sexual abuse by claiming he was using unconventional treatments.

In 2018, Michigan State University, which employed Mr. Nassar, paid more than $500 million into a victim compensation fund, believed to be the largest settlement by a university in a sexual abuse case. Three years later, U.S.A. Gymnastics and the United States Olympic & Paralympic Committee reached a $380 million settlement.