Transport for London (TfL) launched the second phase of consultation on the scheme last week, detailing the location of temporary compounds to store materials and machinery during construction.
One of the larger compounds is planned for Shepherds Bush Green, but the council says that this is a vital green space. "The council has its own plans to transform the green, which are clearly at odds with TfL's," said cabinet member for environment Michael Cartwright.
TfL insists that it chose the compound locations in discussion with councils.
Project director Christopher Dean said: "We chose Shepherds Bush Green to keep construction traffic away from residential areas."
But the council said it did not hear about the plans for a football pitch-sized compound until the consultation was launched.