There are no current cases, said the Wellington-Dufferin-Guelph health unit.
Union president Tim Deelstra told CBC news that "it's a big concern.
People are trying to go to work, and we want them to be safe and we want them to go home safe."
"We have tried to work with Cargill to make sure that we are aware as much as possible because we want to make sure our members in the facility are safe and secure," he said.
Deelstra said the union is asking for greater distancing between workers.