Congress is expected to postpone a shutdown deadline from Nov. 21 until Dec. 20, the top two Congressional appropriators said after a Tuesday evening meeting.

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It also indicated that the sides believed the ongoing impeachment inquiry into President Trump over alleged abuses of power would not prevent them from reaching a deal.

"I think it's irrelevant, frankly," said Lowey of the impeachment inquiry. "I have nothing to do with the other process."

Both Shelby and Lowey had previously floated the idea of a longer stopgap measure into February or March.

Shelby and Lowey said they expect to meet again on Wednesday or Thursday to hammer out differences on how to allocate spending among 12 annual appropriations bills, a process that the disagreements over the border wall had thrown into disarray.

"They have instructed their staffs to continue to exchange offers with the goal of finalizing allocations as soon as possible," said a Democratic aide familiar with the meeting.

"Once allocations are agreed, Appropriations subcommittee chairs will be able to get to work on negotiating individual appropriations bills, including specifics on issues such as border security," the aide added.

Shelby said they hope to reach an agreement on allocations by Thanksgiving.

But the wild card remains Trump, who will have to agree to any final deal.