Maurizio Sarri's side currently sits at the summit of the Italian top-flight by one point ahead of Lazio with 12 games remaining for the current campaign.
With the novel coronavirus suspending the league to 13 April, there have been talks of scrapping the campaign and declaring Juve champions for a ninth consecutive season.
Italy has been under national lockdown for three weeks now but the Italian champions are said to have rejected the notion they should be awarded the title in that manner.
"The top priority is completing the season," Gravina told TMW Radio. "The idea is to start from May 20 or early June, to end in July.
"There's even been talk of August and September. I've made it clear that I'd hate to take the risk of compromising another season to save this one.
"I think scrapping the season would be rather complex. It would be a grave injustice, which would lead to a legal emergency during an epidemiological one.
"Only the Scudetto would need assigning and Juventus themselves, I believe, have expressed a dislike of such of a solution."
Belgium became the first major European league to cancel the rest of its season and crowned Club Brugge as league champions.