Brett Kavanaugh. AFP

The Senate has scheduled a public hearing on a sex assault claim against Supreme Court nominee Brett Kavanaugh for next week.

Judge Kavanaugh and Christine Blasey Ford, the woman who says he attacked her more than three decades ago, will both be able to testify.

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Senate Judiciary Committee Chairman Chuck Grassley confirmed next Monday’s hearing in a statement.

“As I said earlier, anyone who comes forward as Dr. Ford has done deserves to be heard,” said the Iowa Republican.

Judge Kavanaugh says the allegation is “completely false”.

He denies he was even at the 1982 high school party in question where his accuser, now a psychology professor in California, says he tried to rape her as his friend watched.

The claim has jeopardised Judge Kavanaugh’s formerly all-but certain-nomination for a lifetime job on the Supreme Court.