Premier League clubs will have to prove they have at least four Covid-19 cases to get matches called off under new guidance announced on Wednesday.
A total of 22 top-flight games were postponed in December and January because of the pandemic.
The rules will be introduced before the next league fixture on 5 February.
A Premier League statement said the rules are designed "to protect the wellbeing of players and staff" and "maintain the sporting integrity".
Previously, clubs could request a match to be postponed if they did not have 13 available players as well as a goalkeeper.