The interview was for "Super Soul Sunday," a daytime series on Winfrey's OWN Network that tackles thought-provoking issues and shares inspiring stories. The full interview will air at 11 a.m. EDT on April 27 on OWN.
Lesser, who also co-founded the Omega Institute, had already turned 61, and she said she can still clearly remember what she thought when she turned 60.
"Sixty's the first age that feels kind of old," Lesser said, according to the video on the Oprah website. "When I turned 50, it didn't feel that way."
To which Winfrey said, "At all."
Lesser also shared her personal thoughts about aging.
"I definitely feel the gravitas of age," Lesser said, according to Huffington Post. "But... I also feel free. More free."
Winfrey said she also hopes to attain the sense of freedom that comes with reaching the milestone age.
"That is what I wish for myself. I wish for the freedom of other people's expectations. But also, I would agree - I feel that it is significant. Worthy of sitting with it and acknowledging it and being with it," Winfrey said, according to news reports.
Lesser also shared how she has been asked questions like, "Do your grandchildren call you 'Grandma?'" or "Do you tell people you're 60?" or "Do you feel like an elder?"
The author said she didn't find anything wrong with answering positively to any of the probing questions, the Huffington Post reported.
"I want to get comfortable with [saying], 'Yeah, I'm an elder,'" Lesser said, according to news reports. "I feel more and more like my role is to be there for people coming up."
Winfrey wrote in the January issue of the Oprah magazine that she is approaching the landmark age with "humility, supreme thanksgiving, and joy."
"And now, at 60, I simply want to share what I've been given. I want to continue to encourage as many people as I can to open their hearts to life, because if I know anything for sure, it's that opening my own heart is what has brought me my greatest success and joy," Winfrey wrote on her website.