A City Council agreement gives no legal protection to the food concourse.
The plan would give affordable housing funds to the Fulton Houses and will protect the building's facade.
Councilmembers expressed a desire to hold Jamestown to its promises on community benefits.
Advocates said getting affordable housing in exchange for the expansion is not worth it.
The commission unanimously voted to approve the "refined and improved proposal."
According to the Chelsea Market Coalition, 68 percent of respondents support the project.
The city planninng commission asked about the impact on views from the High Line.
The plans needs heavy modifications before it can go forward, the Manhattan Borough President said.
In the tense vote, the board laid out affordable housing as a prerequisite for the project.
Neighbors voted to shoot down Chelsea Market expansion plans unless developers fund affordable housing.
The developer discussed potential compromises, but could not commit to them or provide details.
Opponents say the proposal pits Quinn's ambition against her duty to the neighborhood.
The poll by supporters says 62 percent of residents are in favor, but opponents rejected those numbers.
Dozens spoke against the plan, but the High Line stands to reap huge financial benefits from it.
A meeting on the fate of the historic building is set for Wednesday.
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