The Champions League debutants are into the quarter-finals, but they've asked fans not to gather at the airport to welcome the players home.
It is the worst-affected country after China, where the virus originated.
"We know that many people followed us at home, who cannot go out to celebrate," Gasperini said.
"This is for the people of Bergamo. We have also received many messages from the director of the Bergamo hospital."