From October 1st, the breeding, rehoming, reselling and importing of the dangerous dogs will be banned completely.
There are no plans to erect signage identifying restricted dog breeds in parks across the county.
The only park to have the signs erected will be Monread Park in Naas.
Cllr William Durkan said there should be "consistency" across all parks.
"I think it's important that if it's being provided at some locations that that's consistent across all similar locations and that it's a very clear consistent message that's put forward to dog owners."
"It's a very topical and pressing issue at the moment within the county," he said.
Stressing the need for signs in Naas, Cllr Bill Clear said some owners of restricted dog breeds are letting them off their leash in local parks.
Restrictions on XL bully dogs come into place over the coming months, after a recent spike in attacks.
From October 1st, the breeding, rehoming, reselling and importing of the dangerous dogs will be banned completely.
Those already with the breed will require their dogs to be microchipped and neutered by February 2025.
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