Williams' World Cup hopes appeared over when he ruptured his Achilles tendon while playing for English Championship outfit Middlesbrough in late January.
With a standard recovery time of six months, June's World Cup in Brazil seemed a bridge too far.
But Williams says his recovery is progressing faster than expected, and he hopes to shed his moon boot within the next three weeks.
The 25-year-old West Australian missed the 2010 World Cup in South Africa due to a pelvic injury, and he's desperate not to miss another one.
"I think I've got about a 10 or 15 per cent chance of making it," Williams said in Perth on Tuesday.
"Everything's running smoothly. I'm a bit ahead of where I should be.
"It's not nice to be known for missing two World Cups.
"I think that gives me the drive and hunger to try to get back.
"I don't want to rush this injury, but it is a boy's dream to play at a World Cup. Hopefully I can make that dream come true."
Even if Williams does recover in time, his lack of match practice will be a concern for Socceroos coach Ange Postecoglou.
However, with Australia's defence still a major problem area, Postecoglou may be willing to take the risk when he announces his preliminary squad in May.
Williams is hoping for a change in luck after being struck down by knee, ankle, pelvic and Achilles injuries in the past.
"My last four surgeries I've had, no one's tackled me. Maybe I'd rather someone tackle me so at least I could say someone did touch me," Williams joked.
Australia takes on Spain, Chile and the Netherlands at the World Cup.
The Socceroos have been given little hope of progressing past the group stage, especially without star attacker Robbie Kruse (knee).
But Williams said the squad would give it a good shake.
"It's going to be a hard group. But with the new boss' mentality, and with our Australian heart - we never say die - hopefully we can take that into the World Cup," he said.