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 CruzTed CruzConquering Trump returns to conservative summit The Hill's 12:30 Report Cruz predicts another Supreme Court vacancy this year MORE (Texas) and Mike LeeMike LeeLessons from the godfather of regulatory budgeting Congress must reform civil asset forfeiture laws A guide to the committees: Senate 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 ReidThe Hill's 12:30 Report Hopes rise for law to expand access to experimental drugs If Gorsuch pick leads to 'crisis,' Dems should look in mirror first MORE (D-Nev.) and Mitch McConnellMitch McConnellSanders: 'If you don't have the guts to face your constituents,' you shouldn't be in Congress McConnell: Trump's speech should be 'tweet free' Protesters crash McConnell's speech 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.