Premier League chief executive Richard Masters says it is “absolutely critical” that fans are allowed back inside stadiums as soon as possible.
He says failure to do so will cost clubs £700m during the 2020-21 season, which starts on Saturday.
Football has been played behind closed doors since its return in June following the coronavirus lockdown.
As it stands, no fans will be admitted to top-flight matches in England before October at the earliest.
Speaking later on Wednesday, Prime Minister Boris Johnson announced there will be a “review” of plans to bring fans back into stadiums from 1 October in England, amid growing numbers of positive Covid-19 cases.
Masters told BBC Sport that matches behind