“The US Open was the place where I won my first Slam, it’s super-special. There’s definitely a lot of motivation to get better and play at home,” the 40-year-old American said.
Williams was speaking after losing in her first singles match for a year when she went down 7-5, 1-6, 7/6 (10/7) to unseeded Harmony Tan, the world number 115, in the opening round of Wimbledon.
The 23-time major winner, who debuted at the All England Club in 1998, refused to speculate on whether or not she will be back at Wimbledon in 2023.
“I am just playing for right now. I see how I feel and go from there.
“Who knows where I will pop up.”
Williams walked onto Centre Court for the evening match and quickly looked rusty. She was broken in her first service game.
Williams, far below her imperious best and apparently lacking fitness, bounced back, breaking in the fourth game to level at 2-2, buoyed by a supportive crowd.
The pair swapped further breaks but Tan, ranked 115th, broke again in the 11th game and held her nerve to close out the set 7-5.
Williams broke after a mammoth second game of the second set and went on to level the match 6-1.
The American was first to break in the decider but Tan levelled at 3-3.
Williams broke again in the ninth game, throwing her arms into the air in jubilation but faltered as she served for the match.
She faced a match point on her own serve in the 12th game but saved it with a forehand volley, taking the contest into a third-set tie-break.
Williams stepped up a gear, winning the first four points as the match, under the Wimbledon roof, ticked past three hours.
But still her French opponent was not down and out, winning the next five points to edge ahead.
Williams, looking out of breath, could not find inspiration, netting when facing a second match point.
She finished with 61 winners but 54 unforced errors in the 3-hour, 11-minute evening match.
“I’m so emotional now,” said Tan. “She’s a superstar. When I was young, I was watching her so many times on the TV.
“When I saw the draw, I was really scared. She’s such a legend. I thought if I can win one game, two games, that would be really good for me.”
Twelve months ago, Williams quit her Wimbledon first-round match in tears after suffering an injury and she had not played singles tennis since until Tuesday.
Doubts had been growing about whether the former world number one — who has slumped to 1,204th in the rankings after her period of inaction — would return to the sport.
But she warmed up by teaming up with Ons Jabeur in the doubles at Eastbourne last week.
Williams won the last of her seven Wimbledon singles titles six years ago but reached the final in 2018 and 2019.
The American, who was given a wildcard for this year’s tournament, remains stuck on 23 Grand Slam singles titles — agonisingly one short of Margaret Court’s all-time record.