Sen. Kirsten Gillibrand of New York is hoping for "a Christmas miracle."
"I urge my Republican colleagues to end the filibuster, engage in an open and respectful debate, and let each senator decide for themselves whether the heroes and victims of September 11th deserve quality health treatment and appropriate compensation for their tremendous loss and sacrifice. The 9/11 heroes deserve an up or down vote," Gillibrand said.
One Democratic aide told ABC News today that they are confident that they can get the 60 votes needed to pass the bill.
However, if it passes the Senate, it will likely do so with changes, meaning the changed bill would be sent back to the House for another vote before moving to President Obama's desk to be signed into law.
With so few days left in the lame-duck session, that could be tough. The measure is expected to come up for a procedural vote on Monday morning.