The Southern District Health Board confirmed it was looking at moving the service from its current site to the existing community services building.
A concerned reader contacted the Otago Daily Times, worried the potential site, located at the corner of Kew Rd and Elles Rd, regularly attracted protesters.
Health board executive director specialist services Patrick Ng said while termination services often attracted protesters, it was their legal right to protest.
"However, they cannot do this on Southern DHB property and will be asked to move on by our security staff or they will be served a trespass notice if they are found on Southern DHB property."
Mr Ng said the board was looking at reconfiguring space in the community services building to include a multipurpose area where "a range of women's health procedures can be performed."
He said if the relocation went ahead, access to the service would be from board grounds away from the main thoroughfare.
National president of the Abortion Law Reform Association of New Zealand Terry Bellamak said protests were confronting and stressful for those using termination of pregnancy services.
"They're going for a medical procedure; they're already feeling somewhat vulnerable ... This is something people shouldn't have to put up with.
"I can see the problem. It seems this is a really bad idea, because people can congregate on Elles Rd."
The reader, who did not want to be named, was also concerned the relocation of the service would be problematic because of asbestos present in the building.
In response to whether this was an issue for the health board Mr Ng said it was managing it across the whole of the SDHB.
"Building projects such as this one specifically review and manage asbestos risks so that there is no risk to patients and staff."
The health board did not comment on the cost of the potential relocation.
