"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.
Reggie Yates stands down from 'TOTP' after podcast comments
The Christmas Day edition will feature stars including Ed Sheeran, Dua Lipa, James Arthur, Clean Bandit, Rita Ora and The Script. But on Monday, he went a step further, announcing that he will step down from hosting this year's Top of the Pops shows on BBC.
"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.