A Corporation of London spokesman confirmed ten agencies have expressed an interest in the contract and it was intended that a three-strong shortlist would be drawn up within the next 'six to eight weeks'.
The PR brief will see the hired agency promoting the retail element of Leadenhall Market to consumers.
However, the remit will also involve promoting Leadenhall as a property to businesses, with the aim of encouraging them to rent retail space.
The Corporation of London spokesman said a decision regarding which agency to hire was likely to be reached by 'early June'.
Leadenhall - which is located in the City to the south of Leadenhall Street, near Bank and Monument Underground stations - is a grade II listed pedestrianised site.