Works to address the issue were due to go tender over the summer and take up to six months to complete.
However there have been a number of delays in advancing the project with a procurement process to begin early in the New Year.
The former dump contains more than 104,000 cubic metres of mainly inert domestic and construction waste.
It was used by the local authorities until the 1960s.
Sin Fein’s John Brady says a comprehensive traffic management plan is also needed as part of the project which is estimated will cost 2 million euro.
Dún Laoghaire-Rathdown County Council had earmarked €2 million of it’s budget on a scheme which will see the former Bray landfill remain in place, while rock armour and coastal protection will be installed along the cliff face and on the beach north of Bray harbour.
According to a consultants’ report in 2017 clean up costs on the site could amount to 12 million euro.
It says a “do nothing” scenario for the former landfill is not an option.