Britain's chief scientist, Sir Mark Walport, told the Daily Telegraph that diseases such as ebola were a "potential major threat to Britain".
New Zealand virologist Dr Sue Huang, of the Institute of Environmental Science and Research (ESR), said there was a risk of ebola reaching this country.
"Maybe we are a little bit lucky. We don't have huge traffic and travel between West Africa and New Zealand at the moment - but a theoretical risk is there. Just think about the 2009 [influenza] pandemic when we had students from Auckland to Mexico coming back; they carried the virus to New Zealand."
If a traveller arrived and developed symptoms of ebola, there was nowhere safe enough in New Zealand for the testing of bodily samples to isolate the virus, Dr Huang said. The highest level of physical containment accreditation at New Zealand laboratories was level 3+ - at labs owned by ESR and the Ministry for Primary Industries. Level 4 was needed for suspected ebola.
"We will have to forward the sample to a reference lab overseas to deal with that if anything happens - the CDC [Centres for Disease Control and Prevention] in the US or maybe Australia. We have contacted people at the moment so we can prepare if anything happens."
The director of public health, Dr Darren Hunt, said it was very unlikely that ebola would get to New Zealand.
Dr Hunt said the risk of ebola infection for travellers was very low since most infections resulted from direct contact with the body fluids or secretions of infected patients.
Read more about the fatal ebola outbreak here.