Frasers Group has promised to save jobs after it bought parts of the DW Sports brand for £37m.
Mike Ashley's group, which is behind House of Fraser and Sports Direct, will pay the sum for company assets including DW's gym and fitness business, as well as some of the company's stock.
The move does not include the brand name DW, or the firm's intellectual property, as PA reports.
Around 1,700 jobs were put at risk when DW Sports fell into administration at the start of the month.
Mr Ashley's company said that it would save some of these, but did not specify how many jobs would be rescued.
"The transaction compliments (sic) the existing gym and fitness club portfolio within the company's group and is consistent with the group's elevation strategy," it said in a statement.
"Frasers Group looks forward to elevating the gym and fitness assets acquired pursuant to the transaction under the group's existing iconic Everlast brand, and is also pleased to have saved a number of jobs."
The price could rise to £43.9 million if Frasers also acquires some leaseholds, the buyer said.
During the year ending March 31 2019, DW had gross assets of almost £195 million, and made a loss of just over £20 million.
DW appointed insolvency specialists on August 3, after its income was hit by the lockdown that forced its stores and gyms to close.
It operated 73 gyms and 75 retail sites in the UK, but had already revealed plans to shut 25 stores in July.
Earlier this month DW said it would wind down the retail business for good, with the remaining 50 stores to close.