Senators suggested they were hopeful they could move the nomination this week.
Democrats tried to bring up nearly a dozen nominees.
ISIS has been destroying historical sites to attempt cultural cleansing.
The bill limits how long workers can stay on paid leave.
Durbin says the reform bill has 60 votes.
But Republicans appear unswayed about his nomination.
"We know it needs to be dealt with, and we're in discussions with them," he said.
But he declined to say Sanders should drop out.
Reid says he agrees with Donald Trump.
Senators said a deal could be reached within hours.