At the meeting, councillor Marianne Overton said Lincoln was in “dire need” of affordable housing and rules should be tightened on what developers were expected to provide.
Councillor Charlotte Vernon added: “It’s disappointing the affordable housing is not even 10%.
“I’m really pleased there’s a review mechanism, so we can have another look later if finances improve.”
According to the Local Democracy Reporting Service, residents had objected to the loss of the green space, which is not open to the public but is home to trees and wildlife.
Further details, such as the design and layout of the homes, will need to be confirmed by a future planning application.