Governor Dannel Malloy joined state officials in Hartford on Friday to discuss the Zika virus.
All four of the Connecticut cases of Zika were the result of travel to Zika affected areas like South and Central America and the Caribbean.
Malloy predicts there will be more travel-related cases of Zika in Connecticut, and he wants travelers to be prepared.
"Wear long-sleeve shirts and pants if you are going to be in contact with mosquitoes," said Malloy. "Stay in places with air conditioning. Sleep under a mosquito bed net if you are camping. And use an EPA-registered insect repellent, which has been proven safe and effective, even for pregnant and breast feeding women."
The state Department of Public Health is urging pregnant women or women planning to become pregnant to avoid travel to Zika affected areas altogether.
The DPH will also be handing out information brochures at Bradley International Airport to people traveling to those areas.
Dr. Ted Andreatis, director of the Connecticut Agricultural Experiment Station, said the chance of contracting the virus by a mosquito in Connecticut is very low, because the insect that has been the primary carrier of the disease does not travel this far north. But he is concerned about news of another mosquito that may be carrying Zika: the Asian Tiger mosquito.
"Now, if this virus moves into this species," said Andreatis, "then that will represent a more serious threat to those of us here in temperate regions of the U.S. -- including southern Connecticut, where we do have the mosquito."
Andreatis said the Connecticut Agricultural Experiment Station will be closely monitoring the Asian Tiger mosquito for Zika this summer.
But funding for mosquito control and monitoring was cut by 12 percent in a budget agreement hammered out by the governor and the Democratic lawmakers earlier this week.
Malloy said that the money will be made available regardless of the current budget proposal.