Washington (CNN) Rep. Jason Chaffetz, chairman of the House committee that oversees the Secret Service, warned that the mismanagement at the Secret Service is putting President Barack Obama and his family "in jeopardy."

Speaking to CNN's Wolf Blitzer, Chaffetz said that "we should" be worried about the safety of the first family following the news that the administration is investigating an incident in which two Secret Service agents, who were allegedly drunk, drove into a barrier on White House grounds, and then were allowed to drive off with no repercussions by a supervisor.

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"The more I've learned about it, the more concerned I've become," he said. "We're very united, Republicans and Democrats, in saying that the safety of the President is paramount, and we're putting this person in jeopardy, and his family in jeopardy."

Chaffetz said he had spoken to his Democratic counterpart on the House Oversight Committee, Rep. Elijah Cummings, and that it was "fair to say we're both very concerned about the lack of action on the supervisor's part."

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