According to NBC News, "A Democratic source said the minority wasn't satisfied by the Republicans' questions about the incident during the call, calling them cursory, and believed it should be investigated more deeply".
Flake added later, "And so I will say to these witnesses - these human beings - we owe both of you a honest apology".
"The accusations brought against Judge Kavanaugh are sickening and deserve an independent investigation", Baker tweeted Thursday.
"This is ridiculous and from the Twilight Zone", he said in a statement.
"Reporters were sitting outside of my home and trying to talk to my dog through the window to calm the dog down", Ford said while testifying before the Senate Judiciary Committee.
Ford accused Judge Kavanaugh of sexually assaulting her at a high school party in the early 1980s.
Watch Supreme Court Hearings: Brett Kavanaugh and Accuser Testify to Senate Judiciary Committee
Flake's neutrality on the issue is important as he's a key vote in Kavanaugh's nomination process as one of the Republican members of the Senate Judiciary Committee.
President Donald Trump will also be watching the hearing.
Swetnick, whose allegations emerged on Wednesday, said she witnessed efforts by Kavanaugh and others to get girls drunk at parties so that they could be raped.
Each of the men described "in some detail" their recollection of their encounter with Ms. Blasey Ford, the GOP staff said in a memo late Wednesday, less than 12 hours before Ms. Blasey Ford is slated to testify about her memories of the assault.
Shortly after, Judge Kavanaugh's Yale university classmate Deborah Ramirez told the New Yorker he had exposed himself at a dormitory party.
"Her mind-set was, 'I've got this awful secret", remembered her husband, Russell Ford in an interview with the Post.
The all-male panel of Republicans are expected to defer most of their questions to a female lawyer, Phoenix prosecutor Rachel Mitchell, an experienced sex crimes prosecutor. The committee is set to vote on whether to recommend Kavanaugh's nomination to the full Senate on Friday.
In a tweet on Monday evening, the president claimed Kavanaugh-who is accused of sexual assault by two women-was being targeted by Democrats as part of a "con game".