Sen. Mike Enzi expressed concerns about the stopgap spending bill Congress will pass this week.
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 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.
Republicans say the Democrats are wasting time on political show votes.
“A woman who performs the same work as a man should be paid the same as a man,” Reid said. “Senate Republicans simply cannot accept that notion."
A bipartisan Senate bill to reform nonviolent drug sentencing would save $4 billion.