The banking plan will involve a close review of financial institutions, possibly including a so-called stress test to measure whether they have enough resources to weather a continued economic decline. It will also enable the government, when it provides a new round of investment, to convert the warrants for preferred stock it has already received from many institutions into common stock. The move, which essentially would swap debt for equity, would help relieve the balance sheets of those institutions, although it would also hurt other existing shareholders by diluting their common stock.

Lawmakers said they were told that Mr. Geithner would not spell out the details of much of the program next week, including how the government would use more than $50 billion from that program to help homeowners facing foreclosure.

For weeks, administration officials have been exploring several alternatives for reducing the wave of foreclosures. One proposal involves Fannie Mae and Freddie Mac, the mortgage finance companies now under government control, to help further stabilize the housing markets by providing guarantees on low-rate mortgages.

Another proposal, said to be favored by Lawrence H. Summers, the senior White House economic official, would provide incentives to entice investors in pools of mortgages — and the companies that service mortgages — to refinance troubled home loans.

An announcement on that part of the plan is expected to be made by President Obama, lawmakers said, possibly as early as next week.

Although critics have blamed the administration of George W. Bush for mismanaging the TARP fund by not pressing the banks receiving assistance to increase their lending, the new round of capital injections is not expected to come with government demands that the institutions provide more loans. But the new administration was expected to take other steps to encourage institutions to increase their lending, as well as to explain how much their lending had increased or decreased each quarter.

Democratic lawmakers who have been given previews on aspects of the plan praised it.

“The plan is very smart,” said Senator Charles E. Schumer, Democrat of New York, who declined to provide details of his discussions about the plan with senior administration officials. “It avoids one-size-fits-all. It will have an overarching effect on many institutions. But it doesn’t put all institutions in the same box.”