Story highlights Donald Trump said Sunday he favors a bill that would block terror watch list members from buying guns

Ben Carson raised concerns about due process, saying some people might not belong on that watch list

Washington (CNN) Republican presidential contenders split Sunday on a proposal to ban individuals on a terror watch list from buying guns, with front-runner Donald Trump backing the measure and Ben Carson opposing it.

The measure is being pushed by Democrats in the wake of the Paris attacks. It's similar to a bill that George W. Bush's Justice Department supported, but that never won approval due to opposition from gun rights groups.

Now, though, the GOP front-runner said on ABC's "This Week" that he'd support it.

Host George Stephanopoulos asked: "Mr. Trump, yes or no, should someone on the terror watch list be allowed to buy a gun?"

Trump responded: "If somebody is on a watch list and an enemy of state and we know it's an enemy of state, I would keep them away, absolutely."

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