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Senate Intelligence Committee Chairman Richard BurrRichard BurrSenate intel panel to hold hearing on Russian meddling in Europe The Hill's Whip List: Senate ObamaCare repeal bill Overnight Tech: Uber CEO resigns | Trump's Iowa tech trip | Dems push Sessions to block AT&T-Time Warner deal | Lawmakers warned on threat to election systems | 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."