Meanwhile, the stock market has plummeted this week amid fears of a coronavirus epidemic within the United States.

If Congress is going to pass the coronavirus funding before a mid-March recess, it has approximately 10 working days to finalize the legislation, get it passed in both the House and Senate and then put it on Trump's desk for the president's signature.

"I'm hopeful that we can get this done next week. This isn't something to wait around. ... And I will give credit to the appropriators who have been sitting in the room, making it happen," McCarthy said.

"I hope they can work expeditiously so the full Senate would be able to take up the legislation within the next two weeks. And I hope, as we move forward through this challenge, this body can put reflexive partisanship aside and uphold the spirit of cooperation and collaboration this will require," McConnell said.