The call by Edinburgh City Council reflects growing unease that it is unable to secure contributions for infrastructure improvements via section 75 agreements.
The rights date back to when the facility was in public ownership. In 2005 the Scottish Executive promised to examine the situation but this never took place.
Director of city development David Anderson is now recommending that ministers carry out a review as quickly as possible. However, airport owner BAA has warned that planning red tape could threaten the viability of future schemes.