Speaking at a news conference at the White House on the reworked free trade agreement between the US, Canada and Mexico, Mr Trump said he wanted the investigation to "go quickly".
"Such acts are not only unfair; they are potentially illegal. It has been from the beginning, and we're letting the Senate continue to dictate what the terms look like", Sanders said.
The Republican president was sympathetic to Kavanaugh, saying the nominee has been treated unfairly and that he believes Kavanaugh did not lie about the extent of his drinking in high school and college during testimony before the Senate panel on Thursday.
The FBI has not yet contacted a California professor who says Supreme Court nominee Brett Kavanaugh sexually assaulted her when they were teenagers.
Of course, a Senate confirmation hearing is not a criminal trial, which Mitchell acknowledged. Ms Deborah Ramirez alleges that Mr Kavanaugh exposed his penis to her during a drunken party at a Yale University dormitory when they were undergraduates. Kavanaugh has denied all the allegations.
The question is whether the court will take up those issues with the full bench and robust conservative majority Republicans envisioned when Trump nominated Kavanaugh in July. Kavanaugh has denied being the perpetrator.
Charles Ludington said he made a decision to speak out because he was "deeply troubled by what has been a blatant mischaracterisation by Brett himself of his drinking at Yale". Former NBA player Chris Dudley said he regularly drank with Kavanaugh while the two were classmates at Yale University - and "never, ever saw him blacked out" drunk. "On one of the last occasions I purposely socialized with Brett, I witnessed him respond to a semi-hostile remark, not by defusing the situation, but by throwing his beer in the man's face and starting a fight that ended with one of our mutual friends in jail". Noting that Ford did not remember in what house the incident allegedly occurred, or how she left the gatheringand got back home, Mitchell said "her inability to remember this detail raises significant questions".
The panel's Democrats also asked the Federal Bureau of Investigation to provide copies of all witness interviews and a list of all witnesses who refuse to cooperate.
In a letter Monday to the White House and FBI, Democrats on the Senate Judiciary Committee listed more than two dozen people they would like to see interviewed as part of the investigation.
Inside the White House, strategists view it differently.
Republican Senator Jeff Flake admitted in an interview with "60 Minutes" that the FBI investigation - the one he called for - into the sexual assault allegations against Brett Kavanaugh will probably do nothing to clarify what we already know.
Democrats led by the Senate Judiciary Committee's ranking member, Sen. Lindsey Graham, a Republican from SC, said Sunday that testimony would be taken from Ramirez and Kavanaugh's high school friend Mark Judge, who has been named by two of three women who have accused Kavanaugh of sexual misconduct. There's no medical way I can say that he was blacked out. "And that should be the scope of it", Graham said.
"Unfortunately, despite having the time and opportunity to do so, Senator McConnell has refused to allow that FBI investigation".
Indiana's other U.S. Senator, Todd Young, last week kept his support behind Kavanaugh following the committee hearing.
According to the Journal, Swetnick has recorded a TV interview to be aired Sunday, the first woman making accusations against the Supreme Court nominee to do so. Vice President Mike Pence would cast the deciding vote if the Senate is evenly split. Kavanaugh has called her accusations a "joke".
"If true, this is outrageous", her lawyer, Michael Avenatti, tweeted Saturday afternoon.