A group of retired NFL players who objected to a $1 billion concussion settlement with the league will not take their case to the Supreme Court, The Post has learned.

But the estate of one deceased player did file a last-minute appeal to the high court by the deadline, a move that will hold up payments for thousands of former players covered by the settlement.

Lawyers are seeking to alter the settlement on behalf of former Buffalo Bills running back Cookie Gilchrist, who was found to have chronic traumatic encephalopathy, the degenerative brain disease linked to repeated head hits, after his death in 2011.

In addition to Gilchrist, several other objectors have also been granted an extension of time to appeal until Sept. 19.

“While we are pleased several appellants have decided against petitioning the US Supreme Court, it is clear the few lawyers still objecting to this settlement have motives other than what is in the best interest of the retired NFL player community,” said Christopher Seeger, a lawyer for the majority of players who agreed to the settlement.

“We hope the court will reject this appeal and affirm the settlement so former players can finally receive the care and support they urgently need.”

A federal judge signed off on the NFL settlement in April 2015, and an appeals court unanimously upheld the deal this June. The deadline for filing an appeal with the Supreme Court was Tuesday.

Former New York Jets All-Pro offensive lineman Alan Faneca said his group of players decided not to prolong the process, which would have taken at least another six months.

“It’s been a long road, and I guess there comes a point in time when you see the end of the road,” Faneca told The Post, conceding that the chances of getting the high court to overturn the deal were slim.

“It is for the greater good of everybody,” he said.

Some retirees opposed the settlement because the families of players who die after final deal approval will not be eligible for benefits, and it imposes a 75 percent reduction in awards if there is a single instance of stroke.

“I think the settlement provides a small window for a large group of guys,” Faneca said.

The settlement applies to families of players who died from CTE before the final approval date of the settlement, or players who retired before July 2014 and have brain diseases such as Alzheimer’s, ALS and Parkinson’s.

The maximum award for players with ALS is $5 million; families of players who had CTE, $4 million; and $3.5 million for those with Parkinson’s or Alzheimer’s.

The settlement would cover more than 20,000 NFL retirees for the next 65 years.

Tom Girardi, who also represented players in the settlement, said he expected between 1,000 and 1,500 players would be eligible for payments now.