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Mr. DeLay’s stance won out — and the Republican-controlled Congress did not offset the Katrina money.

Congress also had the debate over offsets last year when Hurricane Irene hit and FEMA’s funds were depleted.

This year, FEMA had several billion dollars available to it in disaster relief money, and the agency said last week that it could cover immediate needs.

Mr. Schumer said that when they get to the point of needing more money, they have an important ally this time around in New Jersey Gov. Chris Christie, a Republican who praised the Obama administration for its response.

“The good news here is that we do have the desire for help on a bipartisan basis — see Gov. Christie,” he said.