The £353m hospital will be funded by both the public and private sector through a Private Finance 2 deal.
Earlier this week the Chancellor George Osborne confirmed funding and gave approval for the trust to seek a PF2 partner.
A bidders day launch will be held on Monday 21 July with details of the event set out in the PQQ, which is available from the NHS e-sourcing portal or contact Daphne Lewsley at the project office on tel: 01215075566.
Construction of the new hospital is expected to start in 2016 and be completed by 2018-19.
The Midland Metropolitan Hospital will be located in Smethwick, close to the boundary between Sandwell and Birmingham on a derelict industrial estate in Grove Lane.
The hospital is likely to be 8 storeys high with around 670 beds providing capacity for around 107,000 inpatients and 120,000 outpatients each year.