Reid is planning to advance H.J.Res. 59 in the Senate this week and strip out the language that defunds ObamaCare, but some Republican have threatened to run out the clock as a means to delay that from happening.
The government will shut down on Oct. 1 if Congress doesn't approve some form of government funding measure.
Before adjourning the Senate for the evening, Reid also passed an amended version of H.R. 1412, the Improving Job Opportunities for Veterans Act.
Rep. Mike Coffman (R-Colo.) introduced that bill, which the House passed on a 416-0 vote in May. The bill allows veterans in certain job training programs to get paid while still learning the trade, among other things. Since the Senate amended the bill, it will return to the House.