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Senate Intelligence Committee Chairman Richard BurrRichard Mauze BurrTrump: Why isn't Senate looking into 'Fake News Networks'? Overnight Cybersecurity: Equifax security employee left after breach | Lawmakers float bill to reform warrantless surveillance | Intel leaders keeping collusion probe open Special counsel looking into dossier as part of Russia probe: report MORE (R-N.C.) said terrorist attacks could begin to happen every week in Europe given the number of sleeper cells that exist there.

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"I think certainly that's a tempo we could reach given the number of folks who have gone in and out of Syria," Burr said in an interview with ABC's "This Week."

"The thing that worries me the most right now is the buzz on social media. Whether it comes from a specific group like ISIS or it's just on the chat rooms, the target is just to go out and kill law enforcement and other officials."

Burr was interviewed about the state of terrorism following attacks in Paris last week that killed 17.

He also said the rising number of terrorist groups around the world are evidence of a "war on Western civilization."

"It really doesn't matter what terrorist group we insert into the blank," he said.

"They're out to kill innocent people. We've got to collectively do our best to make sure we thwart those attacks."