Plans are still sketchy while the future use of the stadium remains undecided, but the aim remains to reduce capacity from 80,000 to 60,000 seats.
The stadium will remain in public ownership and will be leased out to an anchor tenant after a new tender process, with West Ham United currently believed to be hot favourite.
Firms are being invited to prequalify for the 18-month contract for the design and construction of the transformation and reconfiguration works required to some or all of the elements of the roof of the stadium.
It is presently envisaged that the scope of the works will include, as a minimum, the design, manufacture and supply of the structural and non-structural roof cables.
The scope may be extended to design and manufacture of structural steel support elements and roof coverings.
Interested firms have until 3 May to complete PQQs, which can be found at www.procure4london.com.