The Barclay Brothers, who own 25% of Shop Direct, are understood to be considering selling a stake in the ecommerce firm.
Shop Direct Group tablets
Twins Sir David and Sir Frederick Barclay, who own The Daily Telegraph and hotels including The Ritz in London, are looking at selling a quarter of their share in the business, according to Sky News.
The deal could value Shop Direct, which owns Very.co.uk and Littlewoods, at £2bn.
Profits at Shop Direct rose 78% to £71.7m in the year to June 2015.