Ashleigh Barty and fellow top 10 players Elina Svitolina and Kiki Bertens have all withdrawn from the US Open, which is set to begin on 31 August in New York.
The rescheduled French Open starts on 27 September at Roland-Garros in Paris.
“I see myself doing it all if it happens,” said 23-time Grand Slam champion Williams.
Williams is set to play in the WTA Top Seed Open in Lexington, Kentucky next week which she has won six times.
Svitolina and Barty pulled out of the US Open because of concerns over travelling to the United States during the COVID-19 pandemic, while Bertens, withdrew because of Dutch government regulations that require people returning from the US to quarantine for two weeks.
World number two Simona Halep is also not expected to play in the tournament, while defending champion Rafael Nadal and Nick Kyrgios withdrawn from the men’s event.
Serena Williams, 38, said she had become “a little bit of a recluse” during the pandemic.
“I don’t have full lung capacity so I’m not sure what would happen to me – I’m sure I would be OK but I don’t want to find out,” she added.
“I have like 50 masks that I travel with, I’m super, super careful with what I’ve been doing, and everyone in the Serena bubble is really protected.
“Because at the end of the day it’s cool to play tennis, but this is my life and this is my health, so I’ve been a little neurotic to an extent but that’s just what I have to be right now.”