These officials say there is less urgency among GOP leaders about ending a partial shutdown of the government, now in its ninth day.
They declined to say what conditions, if any, might be attached to a bill to raise the debt limit for an undetermined period, perhaps a few weeks or two months.
President Barack Obama has said he won't agree to sign a debt limit increase if conditions are attached, but Republicans are demanding as yet-unspecified concessions.
The officials spoke on condition of anonymity, saying they were not authorized to disclose details of private deliberations.
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