The Senate will weigh in on Sen. Rand Paul Randal (Rand) Howard PaulSecond GOP senator to quarantine after exposure to coronavirus GOP senator to quarantine after coronavirus exposure The Hill's Morning Report - Sponsored by National Industries for the Blind - Trump seeks to flip 'Rage' narrative; Dems block COVID-19 bill MORE's push to sunset two war authorizations, a vote that follows the Kentucky Republican's threat to grind an annual defense bill to a standstill.

Senators will hold a vote on Paul's amendment to sunset the 2001 and 2002 Authorizations for the Use of Military Force (AUMF) on Wednesday.

Paul wants to attach a six-month sunset of the two war bills to the National Defense Authorization Act (NDAA). The 2001 AUMF passed in the wake of the Sept. 11 attacks, while the 2002 AUMF authorized the Iraq War.

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The move comes after Paul said on Monday that he would slow-walk the Senate's consideration of the NDAA — an annual bill that normally passes with large, bipartisan margins — and block any other of the hundreds of amendments from getting votes.

Paul's amendment is unlikely to get added to the Senate's defense bill.

Senators on both sides of the aisle have been pushing for years for Congress to hold a vote on if they should sunset the 2001 or 2002 war authorizations, or pass a new AUMF to fight the Islamic State in Iraq and Syria (ISIS).

But deep policy and political divisions have repeatedly stymied congressional efforts.

However, Sen. Tim Kaine Timothy (Tim) Michael KaineBarrett seen as a front-runner for Trump Supreme Court pick Biden promises Democratic senators help in battleground states Second GOP senator to quarantine after exposure to coronavirus MORE (D-Va.), one of the Senate's most vocal proponents of a new war authorization, said on Tuesday that he would support Paul's push.

"I am supporting Senator Paul's amendment. I think it is way past time—way past time—for Congress to take this up and for everybody to be on the record. I think our allies need to know whether Congress supports the American military missions currently under way," Kaine said.

A spokesman for Sen. Tammy Duckworth Ladda (Tammy) Tammy DuckworthMcConnell focuses on confirming judicial nominees with COVID-19 talks stalled Biden courts veterans amid fallout from Trump military controversies John Fogerty: 'Confounding' that Trump campaign played 'Fortunate Son' at rally MORE (D-Ill.) said she would also vote in favor of Paul's proposal. And Sen. Mike Lee Michael (Mike) Shumway LeeMcConnell shores up GOP support for coronavirus package McConnell tries to unify GOP Davis: The Hall of Shame for GOP senators who remain silent on Donald Trump MORE (R-Utah) announced on the Senate floor that he would support it.