Ford has said the incident happened in an upstairs room and that she is "100 percent" certain it was Kavanaugh who assaulted her, although she has acknowledged that her memories of other details of the evening remain unclear. During his testimony to the committee, he said he does not deny that Ford was sexually assaulted "at some point in her life".
He also drew criticism from Democrats earlier on Tuesday by saying the Kavanaugh case showed it was "a very scary time for young men in America" because they might be presumed guilty even when innocent. Senators have said they want the investigation completed by Friday.
The lawyers' concerns emerged amid reports that the FBI could wind up its investigation well before the deadline of this Friday.
The agency is under White House orders to complete its probe by week's end but can interview anyone it wants, according to a person who spoke on condition of anonymity to discuss private conversations.
On Tuesday, while speaking with reporters at the White House, he acknowledged the rising suspicions about whether Kavanaugh had been truthful to senators on questions about his high school and college-age drinking habits.
Senate Majority Leader Mitch McConnell is pledging that senators will begin voting on Kavanaugh's nomination this week, and criticized what he called "endless delay and obstruction".
The nomination has become a politically explosive issue ahead of November 6 elections, when control of Congress is at stake. Some Republicans fear that pushing ahead with confirmation would alienate women voters, while Democrats seek to capitalize.
The lawyers for a woman allegedly sexually assaulted by Brett Kavanaugh in 1982 said the Federal Bureau of Investigation has not attempted to interview her for its probe. Ms. Blasey Ford says both of them were at the high school party where she says Judge Kavanaugh assaulted her, but they have refuted her claim. But last week he called Ford a "very credible witness" and said: "I thought her testimony was very compelling and she looks like a very fine woman to me, very fine woman".
He and Kavanaugh were classmates at Georgetown Preparatory School, an elite private school outside Washington.
'I had one beer!' Trump told the noisy crowd, mocking Ford's testimony that she can't remember the date or location of the alleged attack, but was sure that she had only consumed one beer.
A re-opened FBI background investigation into Supreme Court nominee Brett Kavanaugh amid multiple allegations of sexual assault could wrap up as early as Wednesday, CBS News has confirmed.
"Fred Trump has been gone for almost twenty years and it's sad to witness this misleading attack against the Trump family by the failing New York Times". Reuters was unable to verify the report or reach the people named.
Nine of 10 Democrats on the Judiciary Committee wrote on Monday to FBI Director Christopher Wray and White House Counsel Don McGahn, listing 24 people they said should be interviewed by the FBI and urging that the investigation assess all three allegations of sexual misconduct.
Supreme Court nominee Brett Kavanaugh was accused of throwing ice at a man during an altercation at a bar while in college. Senate Republicans have privately expressed similar sentiments.
The President also hit out at Senate Democrats who questioned the integrity of his Supreme Court nominee. Trump does not drink and says he has abstained after being urged to do so by his older brother who died at age 43.
In a separate report, NBC quoted a senior USA official and a second source as saying the limits imposed by the White House on the inquiry remained in place, despite Trump's tweet.
In recent days I have become deeply troubled by what has been a blatant mischaracterization by Brett himself of his drinking at Yale. Trump did not elaborate.
The president's comments came as the FBI investigates allegations of sexual assault against Brett Kavanaugh, Trump's pick to fill an empty seat on the U.S. Supreme Court.