Rep. Doug Collins (R-Ga.) has introduced legislation to authorize suspension of arms sales to foreign countries that do not take action against individuals known to be funding the Islamic State in Iraq and Syria (ISIS).
Sen. Mike Enzi expressed concerns about the stopgap spending bill Congress will pass this week.
Some Republicans aren't sure a majority of their conference will back vote.
Sen. Alexander said the Ebola epidemic is just as serious as the threat from ISIS.
McConnell vowed that if Republicans control the Senate, reforming the NLRB would be a priority.
Senate Majority Leader Harry Reid (D-Nev.) blasted Republicans for blocking legislation throughout the year.
The House will begin the process of considering a stopgap funding measure on Tuesday, while the Senate will clear several of President Obama's executive nominations.
The House on Monday passed a bill to authorize a program for law students to practice patent and trademark law before the U.S. Patent and Trademark Office.
The Senate passed a bill Monday that extends a national advisory board on student financial assistance for one year.
The Senate voted to end debate on two nominees to the Nuclear Regulatory Commission.