Italian football federation (FIGC) president Gabriele Gravina expressed his hope on Wednesday Serie A would resume on 2 May with a possible finish in July at the latest.
All Italian sport has been suspended until 3 April as a result of the coronavirus pandemic which has killed 2,978 people in the country and forced the postponement of Euro 2020.
"I don't even want to think that we won't start again, it would be a hiatus, it would worry me for our country," Gravina told Italian radio.
"We're working on the hypothesis of starting again on 2 May and completing the championships possibly going into July if we don't achieve it by 30 June.
"In the event that it's impossible to use all the windows as planned, we will resort to a change in the format of the competitions."
The FIGC president welcomed the postponement of the European Championship until 2021, stating as far as they were concerned "national championships have priority".
"We don't want to penalise anyone, but just as we evaluate format changes in the event of a reduction of the windows to play, so UEFA must do so by remodelling the Champions and Europa League," added Gravina.
The Champions League final is scheduled to take place on 27 June and the Europa League final on 24 June.
Italy's sports minister Vincenzo Spadafora backed Gravina's estimation "that Serie A can resume on 3 May".
"At least that's what we hope for," said Spadafora. "We will then assess whether it will be behind closed or open doors."
Eight teams have 13 Serie A games left to play with the remainder having 12, with four Italian sides still in European competition, and a Coppa Italia semi-final, second round match and final still to be played.
Meanwhile, Italian Olympic Committee (CONI) chief Giovanni Malago confirmed an extraordinary council of their body would take place on 26 March with the 2020 Tokyo Olympics up for discussion.
"There is no deadline for the Olympics, but in the minds of those who know our world, we know that to understand if Tokyo 2020 can take place as scheduled, we cannot go beyond the last week of May or the first week of June," Malago told Sky Sports Italia.
"Health comes first and foremost, common sense must prevail. We don't know how long this health crisis will last."