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Buffalo Bills running back LeSean McCoy celebrates a touchdown during the preseason.

Even with the utmost confidence in Damien Williams as the team’s No. 1 running back, the Kansas City Chiefs showed late Saturday they will do anything to make the roster stronger.

General manager Brett Veach did so by reportedly signing LeSean McCoy to a one-year, $1 million deal late Saturday evening, according to multiple reports.

The two-time All-Pro will reunite with his close friend and former coach in Andy Reid.

McCoy was released by the Buffalo Bills early Saturday and will likely come in as the top backup to Williams, taking away carries from rookie Darwin Thompson and Darrel Williams.

The Chiefs released veteran Carlos Hyde, paving the way for the acquisition.

The 31-year-old McCoy spent his first six seasons in Philadelphia, four of them under Reid, before spending the past four seasons with the Bills. The six-time Pro Bowl selection was released after the emergence of rookie Devin Singletary likely leading to a diminished role for a running back who for years has been a workhorse in the backfield.

McCoy has run for more than 10,600 yards, placing him 25th on the career list and fourth among active players after 10 years. Some of his best seasons came under Reid, including the 2011 season in which he ran for 1,309 yards and 17 touchdowns while earning his first All-Pro nod.

McCoy had back-to-back 1,000-yard seasons in Buffalo before a drop-off last season, when he totaled just 514 yards and three touchdowns as the offense and line struggled to find consistency and health.

“I know who I am. I know how to play. And my teammates know that,” McCoy said during the offseason. “I’m the guy. I feel like that. That’s what I’ve been told. And that’s my everyday approach.”

Damien Williams emerged as the Chiefs’ lead running back late last season, when Kareem Hunt was released following a series of off-the-field issues. But despite showing a dynamic ability in both the run game and the pass game, Williams has been hampered by injuries, including a hamstring issue in camp.

That left the Chiefs with Thompson, an untested rookie out of Utah State, and Darrell Williams in the backfield. Veach admitted to reporters Saturday the club would likely look into signing McCoy.

“We play a lot of common opponents and got to see him on tape, and he’s still a talented player and does a lot of great things in the passing game,” Veach said. “I’m sure that he is a guy that we will take a peek at.”

Veach also alluded to McCoy’s relationship with Reid, saying, “We kind of have a rapport with him.”

The Chiefs have embraced a more passer-friendly style under MVP quarterback Patrick Mahomes, and McCoy will likely have a steep learning curve if he expects to be active against the Jaguars next weekend.

Chiefs make more moves

One day after releasing offensive lineman Jeff Allen, signed after training camp, the team brought back the versatile weapon and released defensive lineman Jeremiah Attaochu.

The Chiefs also officially placed Chad Henne on injured reserve.

Kansas City announced it has filled six of 10 practice squad spots: wide receivers Cody Thompson and Jody Fortson; center Jimmy Murray; tight end Nick Keizer; running back Marcus Marshall; and quarterback Kyle Shurmur.

Brandon Zenner can be reached

at brandon.zenner@newspressnow.com. Follow him on Twitter: @NPNowZenner.