Reynald Temarii had previously said he would vote for Australia but was banned earlier this month after being found guilty by football's world governing body of ethics violations and suspended for one year.
Acting Oceania Football Confederation (OFC) President David Chung flew to Zurich earlier this week hoping to vote along with 22 members of the FIFA executive committee but was denied a chance by Temarii deciding on Tuesday he would appeal.
"I sincerely hope it will not depend on one vote," Lowy told Australian reporters. "It is awkward but we are not in charge of the awkwardness.
"We are just at work doing our best to make sure that as many friends as we can have on the executive committee will be voting for us."
"If we get it, we will make it as good a World Cup as has ever been before," he said.
