The Congressionally-appointed panel overseeing the Troubled Asset Relief Program (TARP) recommends running again the stress tests on US banks, as economic conditions have worsened, its chair, Harvard University professor Elizabeth Warren, told CNBC Tuesday.

"We actually make recommendations to do it all over again right now," Warren told "Squawk Box."

"We've already blown past the worst-case scenario on unemployment," she added.

Under the tests, whose results were released in May, the Obama administration asked federal regulators to examine how financial institutions would hold up under two different economic scenarios as well as how much new capital they would need to raise to shore up their balance sheets.

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The tests concluded that ten banks — including some of the biggest, such as Citigroup, Bank of America and Wells Fargo — would need to raise almost $75 billion in capital; the firms were also required to present plans on how to do so by June 8. The government is prepared to loan money to those companies that are unable to raise capital from private sources.