"The Republican leader and I have talked individually, personally, away from everyone about the need to get this done for the integrity of the Senate," said Reid, speaking from the Senate floor.

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Reid was responding, in part, to a bipartisan cadre of senators who on Monday night demanded leadership restore the appropriations process required by law, which has not been strictly followed since at least 2005.

Reid said the speeches delivered from the floor on Monday night inspired him and Senate Minority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellOvernight Health Care — Presented by Purdue Pharma — Trump says GOP will support pre-existing condition protections | McConnell defends ObamaCare lawsuit | Dems raise new questions for HHS on child separations Poll finds Dems prioritize health care, GOP picks lower taxes when it's time to vote The Hill's 12:30 Report — Mnuchin won't attend Saudi conference | Pompeo advises giving Saudis 'few more days' to investigate | Trump threatens military action over caravan MORE (R-Ky.) to push forward with the bills. Reid also noted, however, that due to the partisan nature of the Senate, the job would not be easy and would require the cooperation of all of his colleagues.  

"We need the agreement of Senate Republicans and Democrats that we work together to complete this important work," he said.