A spokesperson for the hospital trust has told the BBC they consider Woven Oaks “a significant development”, and the money could help fund emergency care and diagnostic equipment like CT scanners.
But the council says the scheme would “not have been viable” if they compelled the developer to hand over the cash.
A spokesperson said: “There is a clear need for the housing being provided at this site – and it has had to be accepted that, for development to proceed, not all contributions could be required.”
They added the NHS had been consulted when the site was identified in the local plan, but not made any comment at the time.
The planning application is recommended for approval, with the council awaiting the completion of the section 106 agreement.
“The section 106 agreement will not be revisited,” the spokesperson added.
A spokesperson for Taylor Wimpey said it would be allocating more than £26m to “local services and infrastructure”, such as road improvements and school facilities, as part of the development.
“Whilst we understand the concerns of the NHS trust, these contributions are set out by Wyre Forest District Council rather than Taylor Wimpey,” they added.