A spokesman for the U.S. Attorney's Office did not immediately return a message seeking confirmation.
Foward also said that Ohio Attorney General Mike DeWine has promised to provide Walmart surveillance video to the NAACP, but did not say when the NAACP would get the recordings.
The NAACP has launched its own investigation into the shooting death of Crawford.
Beavercreek police shot and killed Crawford on Aug. 5 inside a Walmart store after receiving a 911 call about a man in the store with a weapon.
He was carrying an air rifle/pellet gun that he had picked off a shelf from inside the store.
A woman who was fleeing the store with her daughter after gunshots were fired suffered a medical condition and died that night.
Angela Williams, 37, of Fairborn, worked at a Springfield nursing home.
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