Mr. Reid said many Democrats were satisfied with the defense of Mr. Barron provided by White House lawyers at a private briefing last week, The Hill reported. The Nevada Democrat only needs 51 votes to end the debate and move to a vote.

“We’ll vote on the Barron filibuster, stopping that tomorrow. I think we’ll be OK,” he said at a Tuesday press conference.

Republicans and some Democrats have demanded the Obama administration make public the memos Mr. Barron reportedly authored or signed that justified the lethal drone strike against Anwar al-Awlaki, an American citizen living in Yemen who was suspected of terrorist ties. The strike killed al-Awlaki along with Samir Khan, another American citizen, The Hill reported.