It looks like it won't be very long before former President Bill Clinton and his wife Hillary, the former Sectary of State, become grandparents.

During an interview with CNN that aired Sunday, President Clinton dropped a hint that his daughter Chelsea could go into labor any day now.

"I hope by the first of October, I'll be a grandfather," he told Fareed Zakaria, adding, "I can't wait."

When asked about the baby's sex, Clinton confessed that Chelsea and her husband opted not to have the child's gender revealed.

"I don't know," Clinton said. "My daughter and son-in-law decided not to know. They want to be surprised."

The Clintons have remained tight-lipped about Chelsea's pregnancy since she first made the announcement back in April. However, they haven't held back sharing their excitement.

"I can't wait," Clinton said. "We're on watch now."

Former first lady Hillary Clinton also displayed her anticipation about her first grandchild during a speech at the Democratic National Committee's Women's Leadership forum last Friday,

"Now I've been thinking a lot about family because you know I'm on 'grandbaby watch' and I think a lot about this new member of our family and what he or she can look forward to," she said, according to E! News.

She went on to talk about how she wants a better country for her unborn grandchild and all American children.

"And I am well aware that we will do everything possible to prepare this child, to protect this child. But I want that for everybody's child and everybody's grandchild. I want every one of our children to feel that they are inheriting the best of America, that they have the chance to do what I believed was possible for me and what my husband believed was possible for him and what we instilled in our daughter that really this country is on your side," she said.

"Whether you're the grandchild of a president, or the grandchild of a janitor, whether you're born in a city or in a small rural village -- No matter who you are, you have the right to inherit the American dream," she added.

Chelsea, 34, and her husband, investment banker Marc Mezvinsky, dated for five years before tying the knot, starting in 2005. The couple said "I do" at a traditional and lavish ceremony in New York back in August 2010.