Brighton planners voted 11-1 at a meeting last week in favour of approving the detailed planning application.
The club is likely to use the same project team that built Huddersfield's stadium in West Yorkshire. Australian firm Sinclair Knight Merz was structural engineer then, and is likely to win the contract in Brighton.
A Brighton FC insider said Alfred McAlpine was expected to be awarded the contract because of chief executive Martin Perry's connection with the contractor. Perry was formerly McAlpine's special projects manager.
A Whitehall source said the vote of approval was convincing enough to give the stadium the go-ahead. A council spokesperson said the scheme's details were being sent to the government so a decision could be made over whether there should be a public inquiry.