After being challenged by a fan on Twitter to take on Williams, Murray said in his column for BBC Sport that such a matchup could create interest among tennis fans.
"Really? He wants to play me?" Williams said Thursday when told about the column. "Is he sure? That would be fun. I doubt I'd win a point, but that would be fun."
Williams answered two more questions from reporters about her level of play at age 31 and her motivation and then went back to the Murray challenge.
"Just to finish the Andy question, maybe I can get a game," she said. "I'm not sure, but I think I can get a game."
Murray, who is bidding to become the first British player to win Wimbledon since Fred Perry in 1936, said, "I've never hit with her, but she's obviously an incredible player, and I think people would be interested to see the men play against the women to see how the styles match up."
There have been several high-profile matches between stars from the men's and women's game. The most famous of them was held in 1973, with Billie Jean King humbling Bobby Riggs in straight sets.
"He's probably one of the top three people I definitely don't want to play," Williams said about Murray. "But, yeah, maybe we can have a little bit of a showdown. That would be fine. I get alleys. He gets no serves. I get alleys on my serves too. He gets no legs, yeah."
Asked about comments made this week by Martina Navratilova and Boris Becker that she is a better player at 31 than at 21, Williams said, "I wouldn't want to play me at 21 or 31."
After answering repeated questions about controversial remarks she made during an interview last week with Rolling Stone, Williams finally had a chance to talk about her career.
"I feel really honored that such champions, like Martina Navratilova, that I grew up completely admiring, as well as Boris Becker, could look at me and say, 'Wow, she's really playing well,'" she said.
Information from The Associated Press was used in this report.