"We will not fund states that allow anarchy," she told reporters.
The federal government remains closed amid a bitter impasse on Capitol Hill over competing congressional spending bills.
President Donald Trump and Republicans have cast blame for the shutdown on Democrats' health care demands, while Democrats insist Republicans need to negotiate.
The Trump administration has threatened mass layoffs of some federal workers during the shutdown.
Staff from the Department of Health and Human Services, the Social Security Administration, the National Oceanic and Atmospheric Administration, and the Office of Personnel Management also received a partisan letter that blamed Democrats for the imminent shutdown, according to emails reviewed by ABC News.
The emails blame "unrelated policy demands" of congressional Democrats.
-ABC News' Will Steakin
President Donald Trump was asked about laying off federal workers if a government shutdown happens.
The president again blamed Democrats but admitted that "a lot of good things can come from shutdowns."
"We can get rid of a lot of things that we didn't want," he said.
President Donald Trump signed an executive order on Tuesday that will "massively accelerate pediatric cancer research and harness the extraordinary potential of artificial intelligence to fight this terrible disease."
He said that $50 million that is invested into pediatric cancer research will be doubled for the "childhood cancer data initiative."
Trump said with this order, he is "directing the federal government to fully utilize artificial intelligence to supercharge pediatric cancer research."
House Democrats are continuing a public effort to pressure Republicans to address their health care demands just hours from the government shutdown deadline.
The caucus is hosting a "Stop the Shutdown" livestream on YouTube as Democrats push back on Republicans who they blame will take ownership of the shutdown.
House Minority Leader Hakeem Jeffries said the livestream will occur for the next 24 hours to speak "directly with the American people about what's at stake -- why we are fighting hard to make sure that we both find a path forward to fund the government."
Earlier on Tuesday, dozens of Democrats filled the House floor during a brief pro-forma session -- attempting to offer an alternative measure to fund the government. Rep. Rosa DeLauro tried to make a motion to have the House take up the Democrats' continuing resolution to fund the government.
However, Republican Rep. Morgan Griffith, who was acting as speaker pro tempore, immediately adjourned the floor, ignoring Democrats.
"Shame on you!" some Democrats yelled.
The large attendance of Democrats during the pro-forma session was unusual. Some Democrats had posters with Speaker Mike Johnson's face on them that said, "Missing Person."
As we near a government shutdown, the House is out of session and is not planning to return until Oct. 7.
-ABC News' Lauren Peller
