This was reported on the official website of the Premier League.
From March 29 to April 4, 2664 players and club employees were tested.
The sick person is isolated for ten days.
The league said it would not provide details of the clubs or individuals who fell ill.
The information is provided for the sake of fairness and transparency of the competition.
Past testing, which took place from March 22 to March 28, also revealed one positive test result for COVID-19.
Earlier, Guardiola criticized FIFA and UEFA for the congestion of the 2020/21 calendar.