Retailer Next said on Thursday it had pulled out of the bidding as it was unable to meet the price expectations of the collapsed fashion chain.
ASOS is not holding any talks about buying Topshop stores, Sky News said, citing unnamed insiders. But it was also keen to acquire Arcadia's Miss Selfridge brand alongside Topshop and Topman, Sky said.
ASOS is competing against rivals including Boohoo Group , US retailer Authentic Brands Group, which is working with JD Sports Fashion, and Chinese fashion group Shein, the report added.
Arcadia went into administration in November, putting more than 13,000 jobs at risk and becoming Britain's biggest corporate casualty of the Covid-19 pandemic.