The charge carries a maximum penalty of 20 years in federal prison.
Dong had originally pleaded not guilty in May. He was arrested in March at Los Angeles International Airport.
Authorities found 14 birds he wrapped in cloth and strapped to his legs and ankles when he arrived on a flight from Vietnam.
Another suspect, 34-year-old Duc Le, has pleaded not guilty to smuggling charges. He is expected to stand trial Oct. 27.
Le was arrested after investigators found 51 songbirds at his California home.
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