"She's got her visa, she's entered, she's practising and she's probably just got to find a bit more space for a bigger entourage", he told Melbourne's Herald Sun.
Margaret Court has the all-time record with 24.
Now ranked No.22 in the world, Williams told CNN in July she was intending to return to tennis - echoing the words of her spokespeople - and if the American does show up in Melbourne, it would come about four-and-a-half months after she gave birth.
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"We'd be pretty excited about the possibility [of her coming]", Tiley said.
Williams earlier this year told Vogue magazine that she has outlined "the most outrageous plan" for her return. "I spent a lot of time at this center, just even out here on the courts with the kids". Maybe I can help her continue. It ruins lives. I think one of the hardest days of all of our lives was having to tell our sister's children what happened to their mom. "Either I win, or I don't play".
Alexis Ohanian and Serena Williams attend the "Rei Kawakubo/Comme des Garcons: Art Of The In-Between" Costume Institute Gala at Metropolitan Museum of Art on May 1, 2017 in New York City.