West Los Angeles private equity firm Leonard Green & Partners LP is weighing a possible acquisition of BJ’s Wholesale Club, the company said in a securities filing on Tuesday.

BJ’s announced last month that it was exploring a sale of the company and had hired Morgan Stanley to run the sale. Leonard Green is already the largest BJ’s shareholder, with a 9.3 percent stake.

BJ’s said that on Monday it had entered into a confidentiality agreement with Leonard Green that would allow the firm to review its books.

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