Rubio spokesman: Report about dropping out '100 percent false'
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Sen. Marco RubioMarco Antonio RubioOvernight Cybersecurity: What we learned from Carter Page's House Intel testimony | House to mark up foreign intel reform law | FBI can't access Texas shooter's phone | Sessions to testify at hearing amid Russia scrutiny Cornyn: Senate GOP tax plan to be released Thursday This week: GOP seeks to advance tax overhaul MORE's (R-Fla.) campaign is pushing back on a report that some advisers want him to drop out of the presidential race before his home state primary on March 15.

Alex Conant, Rubio's communications director, called the report “100 percent false.” 

“That is fiction,” Conant told CNN on Monday night. “I was sitting in a senior staff meeting planning out next week’s schedule when I saw this report suddenly air, and I came racing across town to correct it.” 

He continued his attack in a fundraising email, writing, "They carried the story as breaking news, live, on air, without speaking with a single person on our campaign. That’s complete malpractice."

Sen. Jim RischJames (Jim) Elroy RischMore must be done to protect America's nuclear power plants from cyberattacks Trump feuds endangering tax reform Making cybersecurity a top priority in Congress MORE (R-Idaho), a Rubio supporter, continued to try to debunk the report on “CNN Out Front" Monday evening

"I sat at the table with advisers, including the senior advisers to the campaign. I can tell you there was not even a hint that that was the issue,” Risch said. “Indeed we had deep and lengthy discussions about Florida, the strategy there, how they're going forward in Florida.”

He continued: “To repeat a rumor like this without foundation and naming the person who is supposed to be putting this out really just isn't fair, because these rumors get started and people repeat them."

Conant later accused CNN of cancelling an 8 p.m. appearance he was set to make. 

CNN on Monday reported there is a debate raging within the Rubio camp about whether he has any chance of winning the Florida primary. 

“He doesn’t want to get killed in his home state,” one source familiar with the discussions told CNN. “A poor showing would be a risk and hurt his political future.” 

The sources told CNN they are fearful that Rubio's campaign will take another hit on Tuesday, when he might fare poorly in the GOP contests in Michigan, Mississippi, Idaho and Hawaii.

"CNN had multiple sources on this reporting, and we stand by it 100 percent," the network said in a statement late Monday.

In dismissing the report, Conant cited Rubio’s recent poll numbers in Florida. 

A new Monmouth University poll released Monday found Rubio trailing Donald TrumpDonald John TrumpDems win from coast to coast Falwell after Gillespie loss: 'DC should annex' Northern Virginia Dems see gains in Virginia's House of Delegates MORE by only 8 points in the state. Earlier polls showed Trump with a double-digit lead.

Florida is one of the biggest contests on the primary calendar. Aside from being one of the most important battleground states in the country, its 99 Republican delegates are winner-take-all.

Rubio remains "bullish" about his chances in the state, according to the CNN report.

--This report was updated on March 8 at 11:20 a.m.