Sen. Christopher Coons (D-Del.) on Sunday said it's "premature" for House Democrats to be talking about re-investigating or impeaching Supreme Court Justice Brett Kavanaugh if they win back control of the chamber.

"Frankly, we are just less than a month away from an election. Folks who feel very strongly one way or the other about the issues in front of us should get out and vote and participate," he said during an interview on NBC's "Meet the Press."

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"There's only ever been one justice that's been impeached and I think talking about it at this point isn't necessarily healing us and moving us forward. ... The Senate's role in our politics is not to just reflect the country, but to help heal and lead the country. And that's the course we should be on," he added.

Kavanaugh was sworn in as a Supreme Court justice late Saturday following a 50-48 vote in the Senate in favor of his confirmation.

Some House Democrats, including Rep. Jerrold Nadler (N.Y.), have said they will consider investigating Kavanaugh if the Democrats take back the majority.

Nadler, who is in line to become chairman of the House Judiciary Committee if the Democrats win the House, said last week that Democrats "would have to investigate any credible allegations certainly of perjury and other things that haven’t properly been looked into before."

"If he is on the Supreme Court and the Senate hasn’t investigated, then the House will have to," he added.