The move puts almost 1000 jobs at risk.
It’s not known if the brand’s six Australian shops or Australian website are affected.
Nine.com.au has attempted contacting Ted Baker for comment.
None of the Australian phone numbers for the brand are connected.
The fashion brand, which has 46 stores in the UK and Europe, has been struggling for years as it faced increasing competition and fallout from the exit of founder Ray Kelvin.
Two years ago the brand was taken over by American Authentic Brands Group (ABG) for $410m.
At that point, it has 500 shops and concessions globally.
But the paper says it reported a pre-tax loss of $83m in the year to January 2022 on sales of nearly £623m according to accounts.
Kelvin started the brand in Glasgow in 1988 selling men’s shirts, and it grew to become a popular designer label around the world.
It has been worn by celebrities including lawyer and George Clooney’s wife Amal Clooney, and Oscar-winner Emma Stone.
The firm which runs it is called No Ordinary Designer Label,
Dresses cost between $300 and $800 and men’s suits are around $1000.
The brand is also sold via concessions including David Jones.
Nine.com.au has contacted David Jones for comment.
However, licenses, franchises and US business are to be unaffected according to reports.
John McNamara, the chief strategy and transition officer for Authentic Brands Group, said: “Despite our tireless efforts, the damage done during a period under AARC in which NODL built up a significant level of arrears was too much to overcome.
“We hope that there could have been a better outcome for the Ted Baker employees and stakeholders.
“It is hopefully some consolation for customers that NODL will continue to trade online and in stores.
“We remain focused on securing a new partner to uphold and grow the Ted Baker brand in the UK and Europe where it began.”