Oxfordshire County Council may be forced to rethink plans to close Oxford School and reopen it as an academy.
A group of councillors have called for a review of the decision made by the council's ruling cabinet last week to press on with the change.
The council supported converting the secondary school, in Glanville Road, into an independently-run academy to try to improve results.
Critics of the idea said other options had not been properly considered.
Councillor Altaf Khan said he preferred the idea of a community-run school.
"The local people would have more of a say and a stake in it, rather than if it's run by an outside organisation," he added.
The council's scrutiny committee has to decide by the end of August whether the cabinet should be asked to reconsider its plan for the school.
In July 2009 parents from the Save Oxford School campaign protested outside the council's offices against plans to replace it with an academy.
Nuala Young, from the group, said: "We still oppose the academy plans and are pleased to hear the decision could be reviewed."