Senate Majority Leader Mitch McConnell is accelerating the work on trade legislation.
Sen. Chris Murphy suggested that lawmakers should take up gun control legislation.
The Senate leader suggested that the agency's director come better prepared for her next hearing.
Sen. Charles Schumer said Republicans "seem content to let deadlines blow right on by."
Sen. Tim Scott said that the families are "the best of who we are as Americans."
Senate Majority Leader Mitch McConnell (R-Ky.) said Tuesday that Kentucky should consider moving a statue of Confederate President Jefferson Davis currently housed in the state's Capitol.
"We curiously enough have a statue of Jefferson...
The Senate is expected to vote on going to conference with House lawmakers later this week.
"It's an important moment for the country," he said ahead of a procedural vote.
The bill has some bipartisan support, but faces an all-but-certain Obama veto.
Sen. Ben Sasse (R-Neb.) was the lone "no" vote.