Murphy said he's not sure Democrats would be able to rally enough Republicans to pass another measure supporting universal background checks but was more optimistic about keeping people on the no-fly list and terrorist watchlist from making gun purchases.
 
"We may have 60 votes to pass the measure that makes sure that people who are on the terror watch list cannot buy guns. That is a non-controversial issue in the American public," Murphy told CNN's "The Situation Room." "I don't know, but I know that in the wake of Orlando there are a lot of members of Congress, Republicans and Democrats, that are reassessing our laws relative to the ability of would-be terrorists to get expensive and dangerous weapons."
 
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Murphy led the Senate Democrats' nearly 15-hour filibuster in the Senate this week decrying the lack of gun-control action and pushing for legislation in the wake of the mass shooting in Orlando over the weekend that left 49 people dead and 53 more injured, which has been called an act of terrorism.
 
Senators will vote Monday on four gun control proposals, including two from Democrats and two from Republicans, but they will need 60 votes to overcome procedural hurdles, raising questions on whether any of them can pass, including one blocking sales for those the attorney general suspects of being terrorists.