The Senate will vote first Wednesday on the bipartisan deal to raise the debt ceiling and end the government shutdown.

There had been speculation that the House might act first to speed passage of the legislation, but that was before Republican Sens. Ted CruzRafael (Ted) Edward CruzPoll: Cruz leads O'Rourke by 7 points Freedom Caucus bruised but unbowed in GOP primary fights Five races to watch in the Texas runoffs MORE (Texas) and Mike LeeMichael (Mike) Shumway LeeSenate GOP urges Trump administration to work closely with Congress on NAFTA Senate panel advances Trump's CIA nominee Doug Jones to oppose Haspel as CIA chief MORE (Utah) said they won't filibuster the bill.

A Senate Democratic leadership aide said the Senate would likely vote in the early evening Wednesday and then send the bill to the House, though exact timing is still being worked out.

Senate leaders Harry ReidHarry Mason ReidMcConnell not yet ready to change rules for Trump nominees The Hill's Morning Report — Sponsored by CVS Health — Trump’s love-hate relationship with the Senate Trump to press GOP on changing Senate rules MORE (D-Nev.) and Mitch McConnellAddison (Mitch) Mitchell McConnellTeacher defeats Kentucky state House majority leader in GOP primary Conservatives leery of FBI deal on informant Lobbying world MORE (R-Ky.) announced a bipartisan fiscal deal Wednesday after House Republicans failed to get enough votes to pass their own measure Tuesday.

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The Senate bill would end the shutdown, fund the government through Jan. 15 and raise the debt ceiling until Feb. 7. It also calls for a budget conference between the House and Senate that would have to report back by Dec. 15, and requires stricter income verification for recipients of ObamaCare subsidies.

Rep. Devin Nunes (R-Calif.) told The Hill that the Senate is likely to vote on the bill around 5 p.m. and then the House would vote closer to 9 p.m. He also said the House would leave town after the vote and return on Tuesday.

Lawmakers are trying to get a bill to President Obama's desk before the U.S. Treasury reaches its borrowing limit on Thursday. 

The stock market was volatile throughout the more than two-week government shutdown and several financial institutions threatened to downgrade the U.S. credit rating if the U.S. defaulted on its debt.

- Molly Hooper contributed to this article.