Sen. Sherrod Brown (D-Ohio) said Republicans are holding national security nominations "hostage."
But the bill faces an uphill battle in a divided Senate.
He said the bill passed by Congress "needlessly created more vulnerabilities."
The Senate also named its negotiators for the talks.
The Senate is expected to vote on going to conference on Wednesday.
The chamber passed legislation cracking down on the group's access to money and support.
The Arizona Republican said he doesn't "want to shut down the government."
But legislation authorizing the war against ISIS has failed to gain momentum in Congress.
The Massachusetts Democrat said refugees shouldn't be denied because of their religion.
"We’re going to look at it," the third-ranking Senate Democrat said.