Villa entire first-team squad and support staff have been in isolation since last week after 14 positive cases of coronavirus were reported at the club.
Dean Smith’s side were scheduled to face Tottenham Hotspur on Wednesday but the fixture was pushed back until later in the season, with Fulham stepping in to fill the gap in the fixture list.
“Following the rescheduling of Villa’s fixture against Tottenham Hotspur, which was due to be played last night, a significant number of players and staff remain in isolation,” the league said in a statement.
“As a result, the Premier League Board has agreed to Aston request to postpone their match on Sunday.”
Villa said that members of the first-team squad and staff who are healthy were expected to resume training on Sunday when they finish their period of isolation.