"The Technical and Scientific Committee gave its agreement on the protocol and the federation assured me that it had a Plan B and a Plan C," Spadafora said after a video conference meeting with Italian football chiefs.
"In light of these considerations, the championship can resume on 20 June."
Italy football federation (FIGC) president Gabriele Gravina assured the minister that there would be a play-off system if the championship were again interrupted.
"We had a very useful meeting," said Spadafora. "From the start, I said that football could restart once all the security conditions had been met and with the agreement of the Technical and Scientific Committee on the different protocols."
Spadafora said that Italian Cup semi-final matches, between Inter Milan and Napoli and AC Milan and Juventus, could be played the week before the championship returned.