"It's not a threat. We need to finish this human trafficking bill that came out of the Judiciary Committee unanimously . . . because the next week we'll be doing the budget and the next two weeks after that Congress is not in session," McConnell said on CNN's "State of the Union."

The Justice for Victims of Trafficking Act, authored by Sen. John Cornyn (R-Tex.), has been stalled after Democrats accused Republicans of sneaking anti-abortion language into the bill. McConnell noted that Democrats on the Judiciary Committee unanimously agreed on the bill before forwarding it.

"They all voted for the very same language in a bill in December," he said.

Senate Democrats say Republicans sneaked the language into authorization measures. At question is a provision that the new Domestic Trafficking Victims’ Fund will be subject to Hyde Amendment limitations. The long-standing amendment prohibits the use of federal taxpayer funds for abortions. The new fund, created under the proposed bill, would be supported by fines imposed on traffickers.