The English top flight restarted its season earlier this month after a 100-day hiatus due to the pandemic while the FA Cup quarter-final ties, which featured eight Premier League teams, were played over the weekend.
"The Premier League can today confirm that between Monday 22 June and Sunday 28 June, 2,250 players and club staff were tested for Covid-19. Of these, one person has tested positive," the league said in a statement.
"The Premier League is providing this aggregated information for the purposes of competition integrity and transparency. No specific details as to clubs or individuals will be provided by the League and results will be made public after each round of testing."
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The league did not reveal the club or the name of the individual who tested positive.
Since players returned to contact training last month, tests have been carried out since May 17 and the league has conducted 11 rounds of testing so far.
The total number of tests carried out by Premier League clubs is now 14,307.