The 25-year-old actress said she supports Scout's decision to protest but does not think she is brave enough, reported Access Hollywood.
Scout, 22 strolled topless through the streets of New York City to protest the policy of photo sharing website.
"Legal in NYC but not on @instagram," she tweeted alongside one photo of herself walking bare-chested through Manhattan.
"She's very bold... I give her mad props for that. I don't know if I'd be brave enough to do it," Rumer said about Scout's stunt.
"(It's) a human rights issue and just having real gender equality. We still live in a world where gay marriage was just legalized recently. So as progressive as we are and we hope to be, I hope that in the next 10 years that we can continue to grow to a place where it's not even a question."
Asked whether she had plans to get involved, Rumer said, "Not as of yet, but you never know."