The Reds manager, who reported mild symptoms ahead of the fixture, is now isolating.
Assistant manager Pepijn Lijnders will therefore lead the team for the 4.30pm GMT kick-off at Stamford Bridge.
Testing of the entire first-team set-up has revealed no further positive cases within the playing squad in addition to the three confirmed by Klopp on Friday.
Three backroom staff members have returned suspected positive results, however.