Several funds that specialise in trying to rescue troubled companies are battling it out to buy Tata's long products arm, which is at the heart of its Scunthorpe steel works in Lincolnshire.
According to the Sunday Telegraph,the Tata Group could agree a deal as early as next week after receiving formal bids from three parties.
Leading the pack are two of Britain's biggest turnaround investors: financiers Greybull and Endless and a third bid has come from a mystery American private-equity house.
It has struggled to compete in the global steel market, where prices are depressed by China's state-backed steel mills dumping overcapacity.
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It is estimated that hundreds of millions of pounds will be needed to revive the business.
A Tata Steel spokesperson said: "We are still assessing all strategic options for our long-products Europe business."
Britain's steelmakers have been engulfed by crisis in recent months, resulting in 5,000 jobs being axed or earmarked for redundancies.
Of these, 1,200 are at Tata's long-products division, with the bulk going at Scunthorpe and almost 300 at Dalzell and Clydebridge in Scotland, which are set to close.
More than 2,000 steel jobs went when SSI's Redcar plant closed in October, and the collapse of Caparo Industries claimed more positions.