"It's simply not true," Wolf said on Fox & Friends. "What we see is a lot of disinformation campaigns via text, via social media, so we want to make sure we refute those, knock those down... a lot of this information is just that: disinformation."

A number of states, including New York, California and Illinois, have issued "stay-at-home" orders, as part of the effort to combat the spread of the virus. Such moves have stoked rumors that such policies could be enacted nationwide by the federal government.

Some of those rumors include the claim that martial law would be invoked with the assistance of the National Guard -- but they are false, Wolf said.

"We want to make sure that individuals are getting information from trusted sources, so those are your state and federal officials, and we're asking them not to spread this information around," he said.