WASHINGTON -- The Federal Reserve could become the supercop for "too big to fail" companies capable of causing another financial meltdown under a proposal being seriously considered by the White House.

The Obama administration told industry officials on Friday that it was leaning toward making such a recommendation, according to officials who attended a private one-hour meeting between President Obama's economic advisers and representatives from about a dozen banks, hedge funds and other financial groups.

Treasury Secretary Timothy Geithner and other officials made it clear they were not inclined to divide the job among various regulators as has been suggested by industry and some federal regulators. Geithner told the group that one organization needs to be held responsible for monitoring systemwide risk.

"Committees don't make decisions," said Geithner, according to one participant.

Officials from the Treasury Department and National Economic Council, which hosted the meeting, told participants that the Fed was considered the most likely candidate for the job, according to several officials who attended or were briefed on the discussions.

The administration officials said a legislative proposal would likely be sent to Capitol Hill in June with the expectation the House Financial Services Committee, led by Rep. Barney Frank, D-Mass., would consider the measure before the Independence Day recess.

The officials requested anonymity because the meeting had not been publicly announced and they were not authorized to discuss it.

A Treasury Department statement provided to The Associated Press on Friday confirmed Geithner's position that he wants a "single independent regulator with responsibility for systemically important firms and critical payment and settlement systems."

A spokesman said Geithner also is open to creating a council to "coordinate among the various regulators, including the systemic risk regulator."

The Fed itself hasn't taken a position on whether it should have the job, although Chairman Ben Bernanke has said the Fed would have to be involved in any effort to identify and resolve systemwide risk.