BAM Construction, Carillion Building and Kier Regional have been shortlisted by Argent and the Greater Manchester Property Venture Fund to build the 273,000 sq ft office building in central Manchester.
James Nicholson, development manager, said: "If we are successful in securing a pre-let, we could be on site by the end of the year."
The building, designed to be BREEAM 'excellent', has been linked with KPMG's requirement for offices of around 75,000 sq ft but no deal has been done. Law firm Pannone and Lloyds Banking Group are also in the market for new space.
One St Peter's Square will have floor plates of up to 22,500 sq ft with retail, leisure and cultural uses at ground floor level, including space for public exhibitions.
The team at One St Peter's Square includes Glenn Howells Architects, building services consultant Hoare Lea, employer's agent Faithful & Gould, structural engineers Tier and planning consultant GVA.
GVA and Savills are joint agents for the scheme.