Legislation will benefit nearly 2.5 million people who have lost their jobs since President Bush took office.
But Democrats complain that a million long-term unemployed are being denied extra help.
The nation's unemployment rate is six percent, which is an eight-year high.
The bill would allow Alaska, Oregon, Washington, Connecticut, Massachusetts and Pennsylvania to get 26 weeks of federal aid.
The Senate plans to act on the bill Friday.
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