Clinton spoke to People Magazine, which made her its cover story in editions to hit newsstands on Friday.
In excerpts of the wide-ranging interview released Wednesday, the former secretary of state brushed aside any discussion of the former White House intern, whose escapades with then-President Bill Clinton helped lead to his impeachment.
"I'm not going to comment on what did and didn't happen. I think everybody needs to look to the future," Clinton told People, adding "I've moved on."
Lewinsky, 40, for her part told Vanity Fair magazine in an article published last month that she too is ready to put behind her the scandal that has dominated her life.
The affair came to light in the fall of 1998, nearly crashing the Clinton presidency and leading to his impeachment by the US House of Representatives.
The former first lady suggested to People that at this point, the scandal is water under the bridge.
"I want to live in the moment," she told the magazine.
The interview with the popular gossip magazine comes out just days ahead of next week's release of her latest memoir, "Hard Choices."
Clinton, 66, who lost to President Barack Obama in their 2008 battle for the Democratic presidential nomination, is mulling a second White House run, and her upcoming book tour -- following the memoir's June 10 release -- is widely seen as a way to lay the groundwork for a 2016 campaign.
As has been her style, Clinton spoke opaquely about her future political plans, careful not to rule out, or rule in, a future presidential bid.
"I am concerned about what I see happening in the country and in the world. Through the next months, I will think more about what role I can or, in my mind, should play."
She added: "To have a woman president is something I would love to see happen, but I'll just have to make my own decision about what I think is right for me."
Clinton also reflected in the interview on her role as a first-time grandmother, with daughter Chelsea due to become a mom this fall, an event Hillary said anticipates with "joy."