“I am not at all worried,” Conte told reporters outside the prime minister’s office in Rome on Wednesday.
“We will speak on Friday and I will pass on all the facts I am aware of.”
Conte added that he was not under investigation himself.
The prosecutors are looking into why badly hit areas around Bergamo were not closed down early in the outbreak and have already questioned the regional governor of Lombardy, which includes Bergamo, and Lombardy’s health chief.
It comes after a group representing relatives of people who died of coronavirus in Bergamo requested an investigation into the handling of the pandemic.
The aim was to identify those responsible for managing the response and determine whether criminal charges could be raised, she said, adding that once lawyers had time to prepare a case, a separate wave of civil lawsuits would be likely in September.
Regional authorities in Lombardy have faced angry criticism for failing to set up special isolated “red zones” quickly enough, and for leaving open a major hospital that became a centre of infection early in the crisis.
Italy’s death toll from coronavirus climbed by 71 on Wednesday, against 79 the day before, the civil protection agency said.
The national death toll now stands at 34,114.