At least six of the 19 largest U.S. banks require additional capital, according to preliminary results of government stress tests, people briefed on the matter said.

While some of the lenders may need extra cash injections from the government, most of the capital is likely to come from converting preferred shares to common equity, the people said. The Federal Reserve is now hearing appeals from banks, including Citigroup Inc. and Bank of America Corp., that regulators have determined need more of a cushion against losses, they added.

By pushing conversions, rather than federal assistance, the government would allow banks to shore themselves up without the political taint that has soured both Wall Street and Congress on the bailouts. The risk is that, along with diluting existing shareholders, the government action won’t seem strong enough.

“The challenge that policy makers will confront is that more will be needed and it’s not clear they have the resources currently in place or the political capability to deliver more,” said David Greenlaw, the chief financial economist at Morgan Stanley, one of the 19 banks that are being tested, in New York.

Final results of the tests are due to be released next week. The banking agencies overseeing the reviews and the Treasury are still debating how much of the information to disclose. Fed Chairman Ben S. Bernanke, Treasury Secretary Timothy Geithner and other regulators are scheduled to meet this week to discuss the tests.

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