A public health doctor in England, Dilys Morgan, said four “travel-associated” cases of the virus had been found in the last six weeks.
The main concern surrounding the virus is a possible link between the virus and a rise in cases of microcephaly, a birth defect characterised by an abnormally small head that can result in developmental problems.
Zika is spreading rapidly through Latin America and most people who contract it have either mild or no symptoms.
The World Health Organisation declared Zika a global emergency last month, with some countries discouraging nationals from travelling to Latin American counties.