Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellHawley warns Schumer to steer clear of Catholic-based criticisms of Barrett Senate GOP set to vote on Trump's Supreme Court pick before election Harris slams Trump's Supreme Court pick as an attempt to 'destroy the Affordable Care Act' MORE (R-Ky.) is setting up the chamber to take up two bills to fund the government as soon as Thursday, as Congress races to prevent a shutdown.

McConnell, wrapping up the chamber's work for Tuesday, filed cloture on the two fiscal year 2020 funding bills, paving the way for them to come up for an initial vote on the Senate floor as soon as Thursday.

The House passed the two bills on Tuesday, meaning after the Senate votes they will go to President Trump Donald John TrumpBiden says voters should choose who nominates Supreme Court justice Trump, Biden will not shake hands at first debate due to COVID-19 Pelosi: Trump Supreme Court pick 'threatens' Affordable Care Act MORE's desk, where GOP senators hope he will sign them.

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Trump has until the end of the day Friday to sign the two bills and prevent the second shutdown of the year.

Senate leadership has not yet locked in a time for the chamber's votes on the two spending packages, though Sen. John Cornyn John CornynSupreme Court fight pushes Senate toward brink Hillicon Valley: Productivity, fatigue, cybersecurity emerge as top concerns amid pandemic | Facebook critics launch alternative oversight board | Google to temporarily bar election ads after polls close Lawmakers introduce legislation to boost cybersecurity of local governments, small businesses MORE (R-Texas), an advisor to McConnell, told reporters he expected they would take place on Thursday.

Absent consent from every senator, the Senate's final votes on the spending packages could be kicked to Friday.

Senators also need to clear 13 district judge nominations, with votes on the slate expected to start on Wednesday. If Democrats don't agree to a deal on the nominations, those votes would eat up 26 hours of floor time.

Lawmakers are voting on the fiscal year 2020 bills in two packages because Trump pledged he would not sign an omnibus—when all 12 funding bills are folded into one piece of legislation.