Updated

Some of Donald Trump’s better-known supporters are even worse than deplorable – they want Hillary Clinton dead, according to one CNN star.

The left-leaning cable network’s media reporter Brian Stelter made the claim Wednesday on PBS's "Charlie Rose," and even named names.

Some Trump backers are in a "truly deplorable basket,” Stelter said. “Sean Hannity fits into it, so does Rush Limbaugh, Alex Jones and others. These are people who bring up rumors and innuendo about Clinton’s health, and have been doing it for years.

"I'm not saying Hannity or Limbaugh fit into these necessarily," Stelter continued, "but they — some of these figures want her to be sick. They want her to be dying. They want her to be on her death bed."

The comments came as Clinton was rallying from a bout with pneumonia and preparing to resume campaigning. The former first lady, senator and secretary of state fell ill Sunday at a Sept. 11 memorial event in Lower Manhattan, and her near collapse was caught on cellphone video by a bystander.

Hannity, a Fox News prime time host and syndicated talk radio star, blasted CNN for accusing him of wishing Clinton dead.

"How do I get an apology from CNN?” Hannity thundered.  "Should I — I would love to sue them for slander when they say, ‘Oh he wants Hillary on her deathbed and dead,' when I said just the opposite.

“I know it's hard to sue when you're a public figure, pretty much people can call you anything, and I've been called pretty much everything," Hannity continued. "But I'm thinking of suing them. Maybe I'll get [prominent lawyer] David Boies, my buddy, to do it."

Limbaugh didn’t take it in stride, either.

"You're specifically alleging, Brian, we want her to be sick. … You really need to research the transcripts of this program," Limbaugh said. "If you do, you will find that I am the one person who started expressing concern for Mrs. Clinton in a number of areas. The most recent time when she had that four-minute coughing spasm, it was I who asked, ‘How could her staff do that to her and not send somebody out to rescue her?' ‘Who left her out to dry in that episode?' "

The broadcasting legend went on to defend Hannity, saying his pal “doesn't want anyone to die. What is this? This is — it's bottom of the barrel stuff.”

"My problem with Hillary Clinton has to do with what she believes," Limbaugh said. "My problem with Hillary Clinton has to be totally and 100-percent policy-related."