Calls are rising for Congress to pass yet another extension this fall, possibly adding 13 more weeks of coverage in states with especially high unemployment. As of June, the national unemployment rate was 9.5 percent, reaching 15.2 percent in Michigan. Even if the recession begins to ease, economists say, jobs will remain scarce for some time to come.

“If more help is not on the way, by September a huge wave of workers will start running out of their critical extended benefits, and many will have nothing left to get by on even as work keeps getting harder to find,” said Maurice Emsellem, a policy director of the employment law project.

For many desperate job seekers, any extension will seem a blessing. Pamela C. Lampley of Dillon, S.C., said she sat outside the post office last month and cried because “it was the first Wednesday in quite some time that I’ve gone to the mailbox and left without an unemployment check.” The jobless rate in her state is 12.1 percent.

Ms. Lampley, 40, who is married with three children, lost her job as a human resources officer in January 2008 and had been receiving $351 a week, which covered the groceries and gas. Even so, she and her husband, who still has work as a machinist, were sinking into debt. Now, still poorer, she feels devastated because they cannot buy their son a laptop to take to college and she cannot give her 9-year-old son money for the movies.

In Ohio, where unemployment is 11.1 percent, Cathy Nixon, 39, a mother of four teenagers from Lorain, has been out of work for much of the time since June 2007, and her benefits  $313 a week  run out in September. Ms. Nixon is already fighting foreclosure and said she feared that when the benefits end, “we’ll be homeless.” She was unable to afford summer camp and baseball activities for her children, despite scrimping on basics.