This was confirmed by the club on Saturday.
This means Gerrard will not be in the dugout for Chelsea’s visit on Boxing Day.
“Aston Villa can confirm head coach Steven Gerrard will be unable to attend our next two Premier League matches with Chelsea and Leeds United as he will be isolating after testing positive for Covid-19,” the club said in a statement.
Villa’s game with Burnley last weekend was postponed due to an increased number of positive Covid-19 tests among the squad.
The match against Chelsea at Villa Park is one of six Premier League fixtures still scheduled to go ahead on Boxing Day.