Sen. Tim Kaine Timothy (Tim) Michael KaineBiden promises Democratic senators help in battleground states Second GOP senator to quarantine after exposure to coronavirus The Hill's Morning Report - Sponsored by The Air Line Pilots Association - Pence lauds Harris as 'experienced debater'; Trump, Biden diverge over debate prep MORE (D-Va.) plans to object to the Senate adjourning for the week Thursday afternoon amidst a 20-day government shutdown, according to Senate sources.

Kaine and his fellow Senate Democrats want to ratchet up pressure on Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellMcConnell focuses on confirming judicial nominees with COVID-19 talks stalled McConnell accuses Democrats of sowing division by 'downplaying progress' on election security Warren, Schumer introduce plan for next president to cancel ,000 in student debt MORE (R-Ky.), who earlier in the day blocked a Senate vote on House-passed legislation to reopen government agencies not connected with the partisan standoff over the border wall.

“Why would the Senate leave town this weekend before voting to reopen the government?!” Kaine tweeted on Thursday afternoon.

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“Countless federal workers aren't being paid. People are worrying about how to pay bills. Congress could act now to fix it if Mitch McConnell would just take up a bill. Let's stay here and do it!” he wrote.

Kaine has told McConnell that he will object to any motion to adjourn the Senate for the week, something that is usually approved as a matter of routine on Thursday afternoons.

Sources familiar with the floor standoff over adjourning for the week said Kaine has made McConnell “aware” and is now waiting for the GOP leader’s response.

McConnell could either hold a vote to override Kaine’s objection or keep the Senate in session through the weekend although no votes would be expected, according to one senator briefed on the plan.

The GOP leader angered Democrats earlier Thursday by refusing to allow a vote on a bundle of six bills funding government agencies that don’t have jurisdiction over the hot-button issue of border security.

McConnell argued the House-passed legislation won’t go anywhere without President Trump Donald John TrumpHR McMaster says president's policy to withdraw troops from Afghanistan is 'unwise' Cast of 'Parks and Rec' reunite for virtual town hall to address Wisconsin voters Biden says Trump should step down over coronavirus response MORE’s approval.

“The last thing we need to do right now is trade pointless — absolutely pointless — show votes back and forth across the aisle,” he said.

Negotiations appeared to collapse Thursday among a group of moderate Republicans led by Sen. Lindsey Graham Lindsey Olin GrahamThe Hill's Campaign Report: Arizona shifts towards Biden | Biden prepares for drive-in town hall | New Biden ad targets Latino voters Senate Democrats' campaign arm announces seven-figure investment to boost Graham challenger Graham: Comey to testify about FBI's Russia probe, Mueller declined invitation MORE (R-S.C.) who had sought to find a compromise.

“I think we're stuck. I just don't see a pathway forward,” Graham told reporters.

Jordain Carney contributed.