Democratic National Committee Chairwoman Debbie Wasserman Schultz would do away with open primaries and allow the party's nominee to be chosen by Democrats alone if she were in control of the process.

"I believe that the party's nominee should be chosen — this is Debbie Wasserman Schultz's opinion — that the party's nominee should be chosen by members of the party," the DNC chief said in an interview with "MSNBC Live" Monday.

Many states allow independents to vote in the Democratic or Republican primaries. This is the first time the progressive leader has come out against this system.

Bernie Sanders, who is currently trailing Hillary Clinton for the nomination, has touted his success in open primaries.

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