It means there have been 19 positive results from the 16,280 tests carried out since May 17.
England’s top-flight returned from a three-month suspension amid the pandemic on June 17.
The Premier League season will finish on July 26, with the FA Cup final scheduled to take place on August 1.
August will then see a revamped Champions League knockout stage, with the tournament halfway through the last 16 when the football season stopped.
The top-flight table has already seen some significant changes since the season resumed.
A total of 1,973 players and club staff were tested between June 29 and July 5, the league announced on Monday.
In the previous round of testing, there had only been one positive result.