"This is regardless of whether they have been to Zika-affected areas," health officials said in a statement. The outbreak and advisories come as the tourism industry in one of the world's busiest travel hubs already faces weak global economic growth.
Singapore's Tourism Board said it was premature to consider any impact on the sector, adding it remained a "safe travel destination".
More than 55 million people pass through Singapore's Changi Airport every year. In the first half of this year, tourism arrivals topped 8 million, around 1 million more than a year earlier.
Singapore reported its first case of locally-transmitted Zika at the weekend, and the number of confirmed infections has risen steadily since then. At least three dozen patients have made a full recovery.
Neighbouring Malaysia and Indonesia have stepped up protective measures, introducing thermal scanners at airports and border checkpoints with the island state.
Such measures, however, will only identify symptomatic cases of Zika, but only one in five people have symptoms of the virus, which include fever, rash, joint pain and pink eye.
Singapore residents responded to government calls to be vigilant and to take precautions against mosquito bites. Online retailer Lazada Singapore said sales of insect repellents jumped fivefold in the past three days.
FairPrice supermarkets and Watsons pharmacies said their sales of such products had doubled. Most of the early infections were among foreign workers, hundreds of thousands of whom, mainly from the Asian sub-continent, work on Singapore's construction sites and in the marine sector.
- Reuters, AAP