Santa Fe County Sheriff Adan Mendoza said it's "too early" to comment on charges following the fatal shooting on the "Rust" set, but added arrests will be made if the investigation shows a crime occurred.
"It's too early right now in the investigation to comment on changes at this point," he said at a news conference.
"The investigation will continue, and if the sheriff's office determines during our investigation a crime has occurred and probable cause exists, an arrest or arrests will be made and charges will be filed."
The director of photography of "Rust," Halyna Hutchins, was killed last week as actor Alec Baldwin was practicing drawing a prop gun during rehearsals.
Baldwin has said he's cooperating with authorities.