The project will consolidate three sites within one new school at a site in Hadfield, with extra room for further expansion.
The new school will cater for 1,000 students aged 11-16 with capacity for 200 or more in the 6th Form.
Part of funding for the new school will come from the sale of the Talbot House site and the Upper School site on Talbot Road, Glossop.
As this land includes an area of playing field, the county council has had to ask the education secretary for permission to sell.
Firms have until 29 May to submit prequalification information for shortlisting down to five bidders.