Ginsburg, 85, was treated at George Washington University Hospital early Thursday morning and admitted for observation and treatment.
"I will literally give 3 ribs to Justice Ruth Bader Ginsburg if she needs them, along with whichever other body parts she requires until 2020", said activist and WaPo contributor Holly Figueroa O'Reilly. She also battled cancer twice and got a stent in 2014 to open a blocked artery.
In the interview, she spoke about being close friends with the late Supreme Court Justice Antonin Scalia despite having different political views. The feature film is about a landmark Supreme Court case in which Ms Ginsburg argued for fathers' rights and against gender discrimination.
Mr Kavanaugh's appointment restores the nine-member court's conservative majority.
Ginsburg, 85, fell in her chambers Wednesday.
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U.S. Supreme Court Justice Ruth Bader Ginsburg during a photo session with photographers at the U.S. Supreme Court in Washington DC., on March 3, 2006.
The president and first lady Melania Trump are scheduled to attend a meet-and-greet with Supreme Court justices Thursday morning, followed by the investiture ceremony for Kavanaugh.
Ginsburg, who was educated at Harvard Law School, was appointed to the Supreme Court in 1993 by former President Bill Clinton. She was admitted for observation and treatment, the court said.
Recently, she's become a cultural icon among progressives, being featured in everything from clothing to books and movies - and commonly referred to by her initials, RBG. She is the eldest of the justices, but has not indicated that she plans to retire anytime soon. Chief Justice John Roberts has remarked in the past about Ginsburg's speedy delivery of opinions.