Democratic National Committee Chairwoman Debbie Wasserman Schultz (D-Fla.) said if it was her decision, she would scrap open primaries and only allow voters registered as Democrats to participate in primaries.

"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 Florida lawmaker said during an interview with "MSNBC Live" on Monday, according to The Washington Examiner.

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States that have open primaries permit independent voters to participate in their Democratic or Republican contests.

Sen. Bernie Sanders Bernie SandersKenosha will be a good bellwether in 2020 Biden's fiscal program: What is the likely market impact? McConnell accuses Democrats of sowing division by 'downplaying progress' on election security MORE (I-Vt.) frequently notes that his presidential campaign benefits from open primaries and that contests in which a large number of independents voters turnout help deliver him primary victories.

GOP presidential front-runner Donald Trump Donald John TrumpObama calls on Senate not to fill Ginsburg's vacancy until after election Planned Parenthood: 'The fate of our rights' depends on Ginsburg replacement Progressive group to spend M in ad campaign on Supreme Court vacancy MORE has also enjoyed support in open primaries from independents and cross-over voters.

Wasserman Schultz and Democratic party leaders have been accused of trying to anoint Democratic front-runner Hillary Clinton Hillary Diane Rodham ClintonWhat Senate Republicans have said about election-year Supreme Court vacancies Bipartisan praise pours in after Ginsburg's death Trump carries on with rally, unaware of Ginsburg's death MORE as the party’s standard-bearer. Wasserman Schultz faced criticism for the number of primary debates, which some accused the DNC of limiting.

Clinton currently leads Sanders by 327 pledged delegates. Her delegate lead swells when superdelegates are included. She holds a narrow lead over the Vermont senator in Tuesday’s Indiana primary.