A listeria outbreak has prompted a nation-wide recall of certain brands of soft cheeses.

Eight cases of listeria infection across Australia have found to be linked and a further three cases are under investigation, Victoria's Department of Health said.

The state's chief health officer Rosemary Lester said consumers should discard 1kg brie and camembert cheese branded Jindi, the 1kg Wattle Valley double brie and the 1kg Wattle Valley camembert with a best before date of December 21.

Dr Lester warned consumers to check the best before date of any Jindi or Wattle Valley soft cheeses.

"Consumers who have purchased a cut portion of camembert or brie from a supermarket or delicatessen who are unsure of the brand should discard it," she said.