Poundland confirmed the discussions after Sky News first reported that executives were working with Martin Property Group on a management buyout.
The retailer operates about 600 stores in the UK and Ireland and employs around 12,000 people. Its managing director, Barry Williams, along with the leadership team and Andy Bond, the current chairman of previous owner Pepco, has been working with the Irish real estate firm on the buyout.
A Poundland spokesman said Martin Property Group was the management team's "preferred partner", but the team would "work with whoever can deliver the best result for the business, colleagues and suppliers and build on the successful recovery that's already taking shape".
The chain has struggled for several years because of rising costs and competition. It was sold for £1 last summer by Pepco to US investment firm Gordon Brothers, which now owns the business and is seeking buyers.
Bally Auluk, a national officer at Usdaw, said the union had "deep concerns that the business could go into administration" if the buyout failed, describing that outcome as "a disaster for our members". He said the union had been told that the management buyout offers were being turned down.