The scope also covers the fit-out of the two portals at North Woolwich and Plumstead where Crossrail trains will surface.
A successful bidder will be confirmed in autumn 2014, with work on site beginning in spring 2015.
The new Woolwich Crossrail station will open in 2018.
Crossrail will provide a spur to regeneration in and around Woolwich, encouraging investment and development as well as supporting jobs and businesses in the local area.
Work on the station box was completed by Berkeley Homes in March this year when it was handed over to Crossrail.
In July, a deal was reached to fund the remaining works required to fit-out the station with contributions provided by Berkeley Homes, the Royal Borough of Greenwich and Transport for London.
Berkeley will build several block of housing above the site.
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