The promising young fullback looks likely to remain in the Eredivisie for now, with his club believed to have taken up an option to keep him
The left-back, who played all three matches for the Socceroos at the World Cup last month, had been tipped to swap the Eredivisie for England's Championship.
But the 23-year-old is now set to stay at the Polman Stadion for at least the next 12 months, unless an agreement on a transfer fee can be reached with any potential suitors.
"In January, Jason and his agent indicated they would like to continue here for two more years," director of football Nico-Jan Hoogma was quoted as telling Dutch reporters by FourFourTwo.
"He wanted to wait until the World Cup with Australia to decide but because we wanted to keep him we haven't terminated his contract.
"The fact he hasn't left (by July 1) means he is under the same conditions. Those are the rules of the collective agreement for professional footballers and we've discussed this with Jason and his agent."
Davidson began his career with Hume City in the Victorian Premier League before joining Portuguese side Pacos de Ferreira in 2009.