A House-passed bill aimed at helping communities impacted by a string of recent natural disasters cleared a key hurdle in the Senate on Monday evening.

Senators voted 79-16 to advance on the bill, setting up a final vote as soon as Tuesday.

All of the 16 "no" votes came from GOP senators, including Sens. 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) and 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 (R-Ky.).

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The House bill would provide $36.5 billion to fund hurricane relief, a flood insurance program and wildfire recovery efforts in the West.

That includes $18.7 billion for the Federal Emergency Management Agency's disaster relief fund, $16 billion to address national flood insurance program debt and $576.5 million for wildfire recovery efforts. It also provided $1.27 billion for disaster food assistance for Puerto Rico.

Monday evening's vote comes after Sen. Bill Nelson Clarence (Bill) William NelsonDemocrats sound alarm on possible election chaos Trump, facing trouble in Florida, goes all in NASA names DC headquarters after agency's first Black female engineer Mary W. Jackson MORE (D-Fla.) tried to add more money to the legislation to help with the recovery efforts for hurricanes Irma, Harvey and Maria. His request was blocked, as expected, by Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellGraham: GOP will confirm Trump's Supreme Court nominee before the election Trump puts Supreme Court fight at center of Ohio rally The Memo: Dems face balancing act on SCOTUS fight MORE (R-Ky.).

"I hope he knows the Senate remains committed to doing its part to support the ongoing hurricane relief efforts. We all see this as a multistage process. ... There will be additional rounds, and we are all fully committed to meeting the needs that have arisen as a result of these devastating hurricanes," McConnell said, explaining his reason for objecting.

Senators had mulled adding more financial help to the bill, but now appear to be poised to pass the legislation as is.

In addition to the amendment from Nelson, Paul is pushing to get the $36.5 billion in spending paid for.

But the libertarian-leaning senator's effort faces an uphill fight. Senators rejected a similar proposal from him during the first round of disaster relief funding.