It looks like Paul can hold this up until 3 am and then it will get voted on in the house. So Mitch basically set himself up for this when he introduced the bill late Wednesday:

Two reasons: the Senate’s arcane rules essentially invite such mischief-making; and congressional leaders waited until the very last minute to unveil their deal, leaving them vulnerable to legislative glitches.

Senate Majority Leader Mitch McConnell, R-Ky., filed a motion to end debate on the budget deal late Wednesday night. Under Senate rules, lawmakers must wait an “intervening day” before they can vote to cut off debate, unless they get an agreement from all 100 senators to speed up the clock.