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(CNN) -- Monica Lewinsky writes that she's concerned a second Hillary Clinton bid for the White House would thrust her back into the spotlight.

"When I hear of Hillary's prospective candidacy, I cannot help but fear the next wave of paparazzi," she said in the upcoming issue of Vanity Fair.

"Like many Americans, I've been thinking about Hillary Clinton. What might happen, I've wondered, if she does run in 2016. And what if she wins -- and then wins a second term?" she said.

"But when I think about these matters, there's a dimension at play for me other than just the fact that we might finally have a women in the White House," said Lewinsky.

'Burn the beret...'

Her comments were taken from the full article that's due out on Thursday. It's the first time she's written about her affair with Bill Clinton, who was impeached over the resulting scandal. The Senate acquitted him of all charges.

In excerpts released on Tuesday, Lewinsky, now 40, said the sexual relationship with Clinton while working as an intern in the mid-1990s was consensual and it was time to move on.

"It's time to burn the beret and bury the blue dress," she wrote, noting that she "deeply" regretted what occurred.

"Sure, my boss took advantage of me, but I will always remain firm on this point: it was a consensual relationship. Any 'abuse' came in the aftermath, when I was made a scapegoat in order to protect his powerful position," Lewinsky wrote.

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Lewinsky fears 'next wave of paparazzi' if Hillary Clinton runs