Local media said only four senators holding key swing votes were still undecided.
But crucially, two key Republican senators who are yet to say how they will vote - Jeff Flake of Arizona and Susan Collins of ME - made positive comments about the probe, which was taken by some to be a sign that they were leaning towards a "yes".
The FBI is said to have interviewed Judge for three hours.
Kavanaugh said his tone at the hearing was a reflection of "my overwhelming frustration at being wrongly accused, without corroboration, of disgusting conduct completely contrary to my record and character".
Barring leaks, it was unclear how much of the Federal Bureau of Investigation report, if any, would be made public.
A spokesman for Hassan declined to comment Wednesday night.
Sen. Bob Corker, a Republican from Tennessee., said nine of the pages were about Mark Judge, the Kavanaugh friend who Ford said also jumped on her while Kavanaugh assaulted her. Judge has said he doesn't recall the incident.
Senator Joe Manchin, the only remaining undecided Democrat, said he would finish reading the report this morning.
This comes on the heels of a six-day FBI background investigation of the sexual assault allegations.
"Part of why this investigation was asked for was it gets the burden off of the Senate and drops it into the FBI's lap", Anderson asserted.
In an October 3 piece for Politico, journalist Matthew Miller stressed that Democrats needed to be aggressive and proactive in demanding a more comprehensive investigation of Kavanaugh.
Ford, now a California psychology professor, has testified that when the drunken Kavanaugh attacked her, she believed he was trying to rape her.
Trump, who Tuesday scornfully mocked Ford's Judiciary panel testimony, tweeted that Kavanaugh's "great life can not be ruined by mean" and "despicable Democrats and totally uncorroborated allegations!"
Thousands of protesters - many of them survivors of sexual assault - marched on the US Supreme Court Thursday urging lawmakers not to confirm Brett Kavanaugh, the judge at the center of one of the most polarizing debates of Donald Trump's presidency. At times, my testimony-both in my opening statement and in response to questions-reflected my overwhelming frustration at being wrongly accused, without corroboration, of disgusting conduct completely contrary to my record and character.
Impersonating the psychology professor, Mr Trump said: "I don't know".
Senate Democrats are disputing Republicans' suggestion that there's been no "whiff" of any inappropriate sexual behavior or alcohol abuse in Supreme Court nominee Brett Kavanaugh's previous background checks.
A Quinnipiac University poll conducted in the days after Ford and Kavanaugh testified showed that public opinion had started to tilt against Kavanaugh, with 48 per cent of voters opposed to his confirmation and 42 per cent in favour.
Other Republicans who'd already voiced support for Kavanaugh echoed Grassley, saying after a briefing that there'd been no corroboration of wrongdoing by Kavanaugh.
In a criticism against all of Mr Kavanaugh's accusers - two other women have accused Mr Kavanaugh of sexual misconduct - Mr Trump said: "These are really evil people".