The firm is one of several contractors that have been involved in talks including the Buckingham Group and Sir Robert McAlpine.
But according to sources Barr is the front-runner to be selected by the club to redevelop the stadium over the next three years.
Under the plan, the club’s Williams and Wedlock stands will be rebuilt to increase the ground’s capacity from 21,500 to 27,000.
Capita Symonds is already on board to handle project and cost management.
Alongside the stadium the club also intends to build a new conference, exhibition and entertainment centre for the city.
Capita Symonds is project manager and KKA Architecture, the designers.
Stadium revamp phasing
- Phase 1 (Completion by Q3 2015) – Demolition of the Wedlock Stand and construction of a new Wedlock Stand
- Phase 2 (Completion by Q3 2015) – Demolition of Dolman front seating tier, modification of the Dolman Stand seating, concourse and roof
- Phase 3 (Completion by Q3 2015) – Demolition of Williams Stand, Hire-Rite Building and No.65 Ashton Road; construct new DESSO pitch
- Phase 4 (Completion by Q3 2016) – Construct new Williams Stand and complete all site works