Lewinsky, 40, had broken her silence last month on her 1990s affair with then US president Bill Clinton, saying he took advantage of her even though it was a "consensual relationship" and she became "suicidal" after the scandal became public.
In the interview, Clinton also discussed her life since leaving the secretary of state's job last year, which involved cleaning out her closets, doing yoga and aquatics and binge-watching the Netflix series "House of Cards", a Washington-based political thriller.
She said she was trying not to dwell on any decision about running for president in 2016.
"With the extra joy of 'I'm about to become a grandmother', I want to live in the moment," she said.
Her daughter, Chelsea, announced in April that she was pregnant and expecting her first child.
However, Clinton hinted that she may take a call on running for presidency in the next few months.
"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 said.