Asked about the Hobby Lobby contraception case, Ginsburg told Katie Couric said she does not think the male justices she disagreed with understood the full ramifications of their decision.
"But justices continue to think and can change. So, I am ever hopeful that if the court has a blind spot today, its eyes will be open tomorrow," said Ginsburg.
She added: "They have wives, they have daughters. By the way, I think daughters can change the perception of their fathers."
Ginsburg's dissent on the case received widespread attention.
"Contraceptive protection is something that every woman must have access to to control her own destiny," said Ginsburg.
Ginsburg, 81, said she has no imminent plans to leave the court.
"All I can say is that I am still here and likely to remain for a while," Ginsburg said.
What would make her want to step down?
"When I can't do the job full steam," she said.