Donald Trump has claimed he would be happy if the FBI interviewed all three of the women who have accused Brett Kavanaugh of sexual offences.

Amid criticisms that the White House had limited the scope of an additional background check into his Supreme Court nominee, Mr Trump said it was up to FBI agents to speak to whomever they wanted to, including Mr Kavanaugh. He also said if the probe turned something up about his nominee, he would have to look at it.

Asked if the bureau should speak to the three women who have accused Mr Kavanaugh – Christine Blasey Ford, Deborah Ramirez and Julie Smetnick – the president responded: “It would not bother me at all. I don’t know the third accuser. I’m sure they’re going to interview two of them.”

He added: “The third, I don’t know much about, but it would not bother me at all. I have heard that the third accuser – I don’t know this to be true – has very little credibility. If there is any credibility, interview the third one.”

On Monday, the New York Times reported FBI agents had been directed by the White House and senate Republicans to interview just four people – Mr Kavanaugh’s friend Mark Judge, PJ Smyth, another high school friend, Leland Keyser, a high school friend of one of Ms Ford and Ms Ramirez.

Michael Avenatti, a lawyer representing Ms Smetnick, said it was very wrong that she was not being given a chance to speak to agents.

“It is outrageous that my client has not been contacted by the FBI because Trump is instructing them not to. He is trying to ram through a nomination by purposely preventing the truth from being known. This is a threat to our very democracy,” he tweeted.

Trump on Kavanaugh: 'I really believe that he was very strong on the fact that he drank a lot, so I don't know if there would be a big discrepancy'

“Be clear: 1. I CANNOT just walk my client into an FBI office. We tried that. They claim they don’t have jurisdiction and they refuse to take a stmt. 2. While we may file a criminal complaint, that will have no bearing on any vote due to timing. We will proceed with other options.”

Former FBI Director James Comey wrote an op-ed saying it appeared the limited nature of the probe was “designed to thwart the fact-gathering process”.

“If truth were the only goal, there would be no clock, and the investigation wouldn’t have been sought after the Senate Judiciary Committee already endorsed the nominee,” he wrote in the Times.

In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing Show all 21 1 /21 In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing WASHINGTON, DC - SEPTEMBER 04: Protesters disrupt the confirmation hearing for Supreme Court nominee Judge Brett Kavanaugh before the Senate Judiciary Committee in the Hart Senate Office Building on Capitol Hill September 4, 2018 in Washington, DC. Kavanaugh was nominated by President Donald Trump to fill the vacancy on the court left by retiring Associate Justice Anthony Kennedy. (Photo by Chip Somodevilla/Getty Images) Chip Somodevilla Getty Images In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing A member of Code Pink protests as US Supreme Court nominee Brett Kavanaugh arrives on the first day of his confirmation hearing in front of the US Senate on Capitol Hill in Washington DC, on September 4, 2018. - President Donald Trump's newest Supreme Court nominee Brett Kavanaugh is expected to face punishing questioning from Democrats this week over his endorsement of presidential immunity and his opposition to abortion. Some two dozen witnesses are lined up to argue for and against confirming Kavanaugh, who could swing the nine-member high court decidedly in conservatives' favor for years to come. Democrats have mobilized heavily to prevent his approval. (Photo by Brendan Smialowski / AFP)BRENDAN SMIALOWSKI/AFP/Getty Images BRENDAN SMIALOWSKI AFP/Getty Images In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing epa06996310 Circuit judge Brett Kavanaugh prepares to testify before his Senate confirmation hearing to be an Associate Justice of the Supreme Court of the United States in the Hart Senate Office Building in Washington, DC, USA, 04 September 2018. President Trump nominated Kavanaugh to fill the seat of retiring justice Anthony Kennedy. If confirmed, Kavanaugh would give conservatives a five-member majority in the high court. EPA/MICHAEL REYNOLDS MICHAEL REYNOLDS EPA In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing WASHINGTON, DC - SEPTEMBER 04: Protesters dressed in The Handmaid's Tale costume, protest outside the hearing room where Supreme Court nominee Judge Brett Kavanaugh will testify before the Senate Judiciary Committee during his Supreme Court confirmation hearing in the Hart Senate Office Building on Capitol Hill September 4, 2018 in Washington, DC. Kavanaugh was nominated by President Donald Trump to fill the vacancy on the court left by retiring Associate Justice Anthony Kennedy. (Photo by Win McNamee/Getty Images) Win McNamee Getty Images In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing A protester is removed during a hearing of the Senate Judiciary Committee on the nomination of Brett Kavanaugh to the US Supreme Court September 4, 2018 in Washington, DC. - President Donald Trump's newest Supreme Court nominee Brett Kavanaugh is expected to face punishing questioning from Democrats this week over his endorsement of presidential immunity and his opposition to abortion. Some two dozen witnesses are lined up to argue for and against confirming Kavanaugh, who could swing the nine-member high court decidedly in conservatives' favor for years to come. Democrats have mobilized heavily to prevent his approval. (Photo by Brendan Smialowski / AFP)BRENDAN SMIALOWSKI/AFP/Getty Images BRENDAN SMIALOWSKI AFP/Getty Images In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing A woman stands and voices her opposition to Supreme Court nominee Brett Kavanaugh, during a Senate Judiciary Committee confirmation hearing on his nomination for Supreme Court, on Capitol Hill, Tuesday, Sept. 4, 2018, in Washington. (AP Photo/Jacquelyn Martin) Jacquelyn Martin AP In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing WASHINGTON, DC - SEPTEMBER 04: Supreme Court nominee Judge Brett Kavanaugh arrives for testimony before the Senate Judiciary Committee during his Supreme Court confirmation hearing in the Hart Senate Office Building on Capitol Hill September 4, 2018 in Washington, DC. Kavanaugh was nominated by President Donald Trump to fill the vacancy on the court left by retiring Associate Justice Anthony Kennedy. (Photo by Win McNamee/Getty Images) Win McNamee Getty Images In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing WASHINGTON, DC - SEPTEMBER 04: Protesters disrupt the start of the Supreme Court nominee Judge Brett Kavanaugh's confirmation hearing before the Senate Judiciary Committee in the Hart Senate Office Building on Capitol Hill September 4, 2018 in Washington, DC. Kavanaugh was nominated by President Donald Trump to fill the vacancy on the court left by retiring Associate Justice Anthony Kennedy. (Photo by Mark Wilson/Getty Images) Mark Wilson Getty Images In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing A protestor is carried out by security as US Supreme Court nominee Brett Kavanaugh attends the first day of his confirmation hearing in front of the US Senate on Capitol Hill in Washington DC, on September 4, 2018. - President Donald Trump's newest Supreme Court nominee Brett Kavanaugh is expected to face punishing questioning from Democrats this week over his endorsement of presidential immunity and his opposition to abortion. Some two dozen witnesses are lined up to argue for and against confirming Kavanaugh, who could swing the nine-member high court decidedly in conservatives' favor for years to come. Democrats have mobilized heavily to prevent his approval. (Photo by Brendan Smialowski / AFP)BRENDAN SMIALOWSKI/AFP/Getty Images BRENDAN SMIALOWSKI AFP/Getty Images In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing A woman stands and voices her opposition to Supreme Court nominee Brett Kavanaugh, during a Senate Judiciary Committee confirmation hearing on his nomination for Supreme Court, on Capitol Hill, Tuesday, Sept. 4, 2018, in Washington.(AP Photo/Jacquelyn Martin) Jacquelyn Martin AP In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing A protestor is escorted out of the room as US Supreme Court nominee Brett Kavanaugh attends the first day of his confirmation hearing in front of the US Senate on Capitol Hill in Washington DC, on September 4, 2018. - President Donald Trump's newest Supreme Court nominee Brett Kavanaugh is expected to face punishing questioning from Democrats this week over his endorsement of presidential immunity and his opposition to abortion. Some two dozen witnesses are lined up to argue for and against confirming Kavanaugh, who could swing the nine-member high court decidedly in conservatives' favor for years to come. Democrats have mobilized heavily to prevent his approval. (Photo by Brendan Smialowski / AFP)BRENDAN SMIALOWSKI/AFP/Getty Images BRENDAN SMIALOWSKI AFP/Getty Images In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing U.S. Supreme Court nominee judge Brett Kavanaugh points to his daughters as his wife Ashley looks on before the start of his Senate Judiciary Committee confirmation hearing on Capitol Hill in Washington, U.S., September 4, 2018. REUTERS/Chris Wattie CHRIS WATTIE REUTERS In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing A woman protests as US Supreme Court nominee Brett Kavanaugh arrives on the first day of his confirmation hearing in front of the US Senate on Capitol Hill in Washington DC, on September 4, 2018. - President Donald Trump's newest Supreme Court nominee Brett Kavanaugh is expected to face punishing questioning from Democrats this week over his endorsement of presidential immunity and his opposition to abortion. Some two dozen witnesses are lined up to argue for and against confirming Kavanaugh, who could swing the nine-member high court decidedly in conservatives' favor for years to come. Democrats have mobilized heavily to prevent his approval. (Photo by Brendan Smialowski / AFP)BRENDAN SMIALOWSKI/AFP/Getty Images BRENDAN SMIALOWSKI AFP/Getty Images In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing U.S. Capitol police officer lead detained protesters out of the start of U.S. Supreme Court nominee Judge Brett Kavanaugh's Senate Judiciary Committee confirmation hearing on Capitol Hill in Washington, U.S., September 4, 2018. REUTERS/Joshua Roberts JOSHUA ROBERTS REUTERS In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing A protester is removed during a hearing of the Senate Judiciary Committee on the nomination of Brett Kavanaugh to the US Supreme Court September 4, 2018 in Washington, DC. - President Donald Trump's newest Supreme Court nominee Brett Kavanaugh is expected to face punishing questioning from Democrats this week over his endorsement of presidential immunity and his opposition to abortion. Some two dozen witnesses are lined up to argue for and against confirming Kavanaugh, who could swing the nine-member high court decidedly in conservatives' favor for years to come. Democrats have mobilized heavily to prevent his approval. (Photo by Brendan Smialowski / AFP)BRENDAN SMIALOWSKI/AFP/Getty Images BRENDAN SMIALOWSKI AFP/Getty Images In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing A protester is removed during a Senate Judiciary Committee confirmation hearing for U.S. Supreme Court nominee judge Brett Kavanaugh on Capitol Hill in Washington, U.S., September 4, 2018. REUTERS/Joshua Roberts JOSHUA ROBERTS REUTERS In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing A protester is removed during a hearing of the Senate Judiciary Committee on the nomination of Brett Kavanaugh to the US Supreme Court September 4, 2018 in Washington, DC. - President Donald Trump's newest Supreme Court nominee Brett Kavanaugh is expected to face punishing questioning from Democrats this week over his endorsement of presidential immunity and his opposition to abortion. Some two dozen witnesses are lined up to argue for and against confirming Kavanaugh, who could swing the nine-member high court decidedly in conservatives' favor for years to come. Democrats have mobilized heavily to prevent his approval. (Photo by Brendan Smialowski / AFP)BRENDAN SMIALOWSKI/AFP/Getty Images BRENDAN SMIALOWSKI AFP/Getty Images In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing epa06996576 A protester is removed as circuit judge Brett Kavanaugh appears before his Senate confirmation hearing to be an Associate Justice of the Supreme Court of the United States in the Hart Senate Office Building in Washington, DC, USA, 04 September 2018. President Trump nominated Kavanaugh to fill the seat of retiring justice Anthony Kennedy. If confirmed, Kavanaugh would give conservatives a five-member majority in the high court. EPA/JIM LO SCALZO JIM LO SCALZO EPA In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing epa06996814 Protesters inside the Hart Senate Office building under arrest as Brett Kavanaugh appears before his Senate confirmation hearing to be an Associate Justice of the Supreme Court of the United States in the Hart Senate Office Building in Washington, DC, USA, 04 September 2018. President Trump nominated Kavanaugh to fill the seat of retiring justice Anthony Kennedy. If confirmed, Kavanaugh would give conservatives a five-member majority in the high court. EPA/TASOS KATOPODIS TASOS KATOPODIS EPA In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing US Capitol Police arrest a protestor during the US Senate Judiciary Committee confirmation hearing for Judge Brett Kavanaugh to be an Associate Justice on the US Supreme Court, on Capitol Hill in Washington, DC, September 4, 2018. - President Donald Trump's newest Supreme Court nominee Brett Kavanaugh is expected to face punishing questioning from Democrats this week over his endorsement of presidential immunity and his opposition to abortion. Some two dozen witnesses are lined up to argue for and against confirming Kavanaugh, who could swing the nine-member high court decidedly in conservatives' favor for years to come. Democrats have mobilized heavily to prevent his approval. (Photo by SAUL LOEB / AFP)SAUL LOEB/AFP/Getty Images SAUL LOEB AFP/Getty Images In pictures: Chaos and fury at Brett Kavanaugh's confirmation hearing US Capitol Police arrest a protestor during the US Senate Judiciary Committee confirmation hearing for Judge Brett Kavanaugh to be an Associate Justice on the US Supreme Court, on Capitol Hill in Washington, DC, September 4, 2018. - President Donald Trump's newest Supreme Court nominee Brett Kavanaugh is expected to face punishing questioning from Democrats this week over his endorsement of presidential immunity and his opposition to abortion. (Photo by SAUL LOEB / AFP)SAUL LOEB/AFP/Getty Images SAUL LOEB AFP/Getty Images

“Instead, it seems that the Republican goal is to be able to say there was an investigation and it didn’t change their view, while the Democrats hope for incriminating evidence to derail the nominee.”

At the White House, where Mr Trump started by talking about a new trade deal agreed with Canada and Mexico – the United States Mexico Canada Agreement (USMCA) – the president initially declined to answer questions about his nominee.

As journalists continued to press him he said he wanted the FBI to do a “comprehensive investigation” into sexual assault allegations against Mr Kavanaugh, while seeking to suggest he would leave the parameters of the probe to Senate Republicans.

“I want them to do a very comprehensive investigation. Whatever that means, according to the senators and the Republicans and the Republican majority, I want them to do that,” Mr Trump said. “With that being said, I’d like it to go quickly.”

He also said he was happy agents spoke to Mr Kavanaugh again. “It’s up to them. I think the FBI should interview anybody they want, but within reason.”

Reports from Capitol Hill suggest Republicans are determined the investigation satisfies the concerns of three senators in particular – Susan Collins, Lisa Murkowski and Jeff Flake. It was Mr Flake who pressed for the probe, threatening to withhold his support if it did not take place.

Mr Trump said he instructed White House counsel Don McGahn over the weekend to give the FBI a free hand to interview whatever witnesses the agency considered necessary. Mr Flake said he was in close touch with Mr McGahn’s office to ensure a thorough investigation.

“We certainly want the FBI to do a real investigation and we are working to make sure that happens,” Mr Flake said at an event in Boston, according to Reuters. “It does no good to have an investigation that gives us more cover, for example. We actually need to find out what we can find out.”

Senate Majority Leader Mitch McConnell said the chamber will vote this week on Mr Kavanaugh. A spokesman for Mr McConnell declined to clarify whether McConnell was referring to procedural votes or a final vote on whether to confirm the judge.

Meanwhile, two more Yale classmates of Mr Kavanaugh, Dan Murphy and Chris Dudley, have released statements on the nominee saying they never saw him blackout while drinking.