The project was launched in June after sections of the route were closed due to safety issues.
Contractor FP McCann will focus on stabilising the cliff faces and repairs to the coastal network during the next phase of works.
Access to the path will remain unavailable throughout.
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Mid and East Antrim Borough Council has urged people to abide by the closures.
A spokesperson said: "We are urging locals and visitors to adhere to the path closure, as by not doing so, they are putting their lives at risk, and potentially delay the completion project.
"We understand this is a hugely popular with the local community, dog walkers and tourists, but the safety of people is of upmost importance.
"We understand how frustrating this can be but the path closure is absolutely necessary.
"There could be land slippage or rock fall at any moment, which could result in loss of life if someone were to be on the path at the time."
(CM/MH)
