Washington (CNN) Hillary Clinton predicted that the controversy over her use of a private email server while secretary of state is nearing its end.

"I think we're getting closer and closer to wrapping this up," Clinton said Sunday in an interview with CBS' John Dickerson on "Face the Nation."

Despite her optimism, the investigation has continued. Her comments come after a former State Department staffer was given immunity to cooperate with a Justice Department investigation into those emails.

Clinton said she's "delighted" that Bryan Pagliano, the staffer who helped set up her server, is cooperating with the investigation.

And she deflected concerns that her email use will lead to indictments that could damage her Democratic presidential campaign.

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