The death occurred in California, the Los Angeles Times reported. The other cases, three of them involving newborn babies, were reported in Maryland.
The CDC said the outbreak appears to have been caused by Caujada en Terron, a soft cheese produced by Roos Foods in Kenton, Del. The cheese is sold at a Maryland grocery chain whose name was not released.
The Maryland Department of Health and Mental Hygiene warned consumers Wednesday against a number of Roos Foods products.
Listeria is spread by the food-borne bacterium listeria monocytogenes and causes fever and diarrhea. The infection is especially dangerous for babies, the elderly and pregnant women.
Two Colorado farmers blamed for a 2011 outbreak that killed 33 people were sentenced to home detention and probation in January.