Democrats, who still seek more information, had threatened to subpoena the documents.
Republicans maintain that Democrats can threaten all they want.
Experts expect a vote on the question early next week, but some Democrats are threatening a filibuster.
Democrats threatened to filibuster the amendment rather than have it attached to the bill.
Democrats, in turn, threatened to grind business to a halt.
Already, Democrats are threatening to turn aviation security into a political issue and use it against Republicans in next year's election.
Democrats have threatened to make an election issue out of what they call Republican attempts to restrict voting.
The Democrats, contending that the measure is crucial, had threatened to go to court to try to stop the payments this week.
Democrats threatened to respond by virtually stopping Senate business.
The Democrats are not threatening to do much during their short reign, but that could change if the power-sharing negotiations break down.