WASHINGTON — Jolted by the loss of thousands of jobs, congressional Democrats and the White House reached for agreement yesterday on about $15 billion in bailout loans for the beleaguered auto industry. President Bush warned that at least one of the Big Three carmakers might not survive the current economic crisis.

Several officials in both parties said the breakthrough on a long-stalled bailout came after House Speaker Nancy Pelosi bowed to Bush's demand that the aid come from a fund set aside for the production of environmentally friendlier cars. The California Democrat spoke to White House chief of staff Josh Bolten during the day to signal her change in position, they added.

The developments came as desperate auto executives pleaded for a second day with lawmakers for loans to help them survive, and the government reported the worst single month's job loss in 34 years.

Pelosi's office issued a statement saying legislation would come to a vote in the House next week. The Senate is also scheduled to be in session to consider steps to aid Detroit's Big Three.

"Congress will insist that any legislation include rigorous and ongoing oversight to guarantee that taxpayers are protected and that resources are directed to ensure the long-term viability and competitiveness of the American automobile industry," Pelosi's statement said.

In a subsequent statement, she added that the billions originally ticketed for development of more environmentally friendly cars would be repaid "within a matter of weeks."

Officials in both parties also said the legislation would include creation of a trustee or group of industry overseers to make sure the bailout funds were used by General Motors Corp., Ford Motor Co. and Chrysler LLC for their intended purpose. The funds are designed to last until March, giving the incoming Obama administration and the new Congress time to consider the issue anew.

At the White House, Bush said the economy was in a recession, and he urged a gridlocked Congress to act quickly on a multibillion-dollar industry bailout — with taxpayer protections.

"We are going to have to have some give here," replied Massachusetts Rep. Barney Frank, a senior House Democrat, expressing optimism that compromise might be possible. It wasn't clear whether he was prodding Bush or Pelosi with his comments, but Republicans said there had been no lessening in Bush's refusal to tap the $700 billion financial industry bailout fund to help the automakers.

There were also fresh calls during the day for the Federal Reserve to come to the rescue of the Big Three, possibly in the form of low-cost loans. And Frank said he had talked with Tim Geithner, President-elect Barack Obama's choice for treasury secretary, a possible sign of involvement by the incoming administration.

"I am concerned about the viability of the automobile companies," a somber Bush said as a fresh report showed that employers slashed 533,000 jobs in November.

The president added, "I'm concerned about those who work for the automobile companies and their families. And likewise, I am concerned about taxpayer money being provided to those companies that may not survive." Bush did not elaborate, but executives at both GM and Chrysler have warned that their storied corporations could collapse by year's end.

In addition to the November layoffs, GM announced it will cut shifts at factories in Lordstown, Ohio, Orion Township, Mich., and Oshawa, Ontario, in February as a result of slumping auto sales. About 2,000 jobs were involved, bringing the year's total to 11,000.

The chief executives of GM, Ford and Chrysler testified for a second day before Congress in support of their plea for a $34 billion bailout in the form of loans.

"We believe this is the least costly alternative," Chrysler LLC chief executive Bob Nardelli said.

For the day, at least, their appeals were overtaken by the severity of the job-loss figures, the worst in 34 years.

Frank said repeatedly the unemployment data had quieted talk of allowing one or more of the automakers to go bankrupt.

"I think it's fair to say that the jobs report today, this disastrous jobs report, has heightened the interest in doing something." With trademark wit, he added, "If we are lucky, we will come out with a bill here that nobody likes, because any bill that any individual liked couldn't pass."