The club have announced that Steven Gerrard will be out of the next two games after testing positive for Covid-19.
The Villa head coach will not be in the dug out for the Boxing Day clash at home to Chelsea, or the trip to Yorkshire on Tuesday.
"Aston Villa can confirm that head coach Steven Gerrard will not be able to attend our next two games as he tested positive for Covid-19," the statement said.
Villa's meeting with Clarets last weekend was postponed due to an increase in positive coronavirus tests among the squad.
There are six games still scheduled for Boxing Day, including the match at Villa Park.
It's not clear if Villa's match at Elland Road on December 28 will go ahead despite the fact that one of the three games that have been postponed is a trip toLiverpool because of a Covid outbreak at the Yorkshire club.
There were 25 Boxing Day games in the top four divisions of English football that have been postponed.
The League Two game with Rochdale at Brunton Park has also been postponed, as has the Championship match at home to Bristol City.
Covid has been reported in the squad of both Luton and Carlisle.
There are only 10 games left on Boxing Day.
The guidance over fixture postponements is published by the premier league.
Managers and captains had their concerns heard by the league.
Managers and players are worried about the number of games they have to play in quick succession during the Christmas holiday period because of the demands it is putting on squad which have been reduced in size as a result of Covid-19.
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The possibility of players striking over the congested fixture schedule is not likely to happen, according to the man.
The meetings were a waste of time, as evidenced by the fact that Antonio Conte labelled them a waste of time.
The Premier League has published guidance to explain its protocols for postponing games after managers called for transparency.
When applying for a game to be postponed, clubs have been told to provide the following information.
Details of players and staff who have Covid, their vaccination status and the source of their infections.
Injury and illness have left players and staff unavailable.
The squad list includes players who are appropriate to U21 players.
The status of each unavailable player will be checked by the medical advisers of the league.
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Antonio Conte.
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The meetings between the league and managers and players were a waste of time according to Antonio Conte.
The request will be considered by the league.
The impact of Covid, infections, illness and isolation on the squad, plus the number of first-team and 'appropriately experienced' U21 players available.
If a club doesn't have 13 outfield players and a goalkeeper available, the matches will be postponed.
The number and source of Covid infections at the club, as well as the proximity to the match, are included in the status of any outbreak.
The club has the ability to prepare its players.
Medical advice about whether the health and safety of players and staff is at risk if they play the match.
Advice from the UK Health Securities Agency.
Other exceptional circumstances.