The issue is likely to draw close scrutiny on Wednesday, when executives from eight banks are scheduled to testify on Capitol Hill. The efforts to break free of government support reflects a growing trepidation among Wall Street’s largest players about their independence and the new rules that may be imposed on them because they accepted federal capital.

In recent weeks, the Obama administration has announced that banks will have to disclose more information about their spending and cap executive pay at $500,000. Several lawmakers have gone further with proposed measures about compensation for all bank employees as well as halting certain types of immigration visas for companies that received government money.

Industry groups say the new rules are unfair.

“The contract says that Congress can change the law, and we were obviously concerned,” said Scott Talbott, senior vice president for government affairs for the Financial Services Roundtable. “But we didn’t think they would tip the scales this far. The more of these retroactive rules they place on institutions, the more institutions will look for an exit strategy.”

But the banks are likely to find that escape is a distant hope, analysts said. The government required banks to replace taxpayer money with new equity  in the form of common stock or preferred shares  before any repayment. And the markets for raising capital are all but dead, especially for financial companies.

Banks are not allowed to repay the government money out of their earnings for three years, though some bank executives are privately saying they think the government may reverse that rule for banks if they start earning money again. After all, bank executives said, it may be beneficial for the government to show taxpayers that some banks are regaining their financial strength.