Production on the movie – which has been following strict protocols due to the pandemic, including regular testing – is expected to resume in Los Angeles as soon as the 14-day quarantine period ends.
The psychological thriller – which also stars Gemma Chan and KiKi Lane - is set in a utopian community of 1950s California and focuses on a housewife who discovers a disturbing truth about her seemingly perfect life.
Plot details are being kept under wraps but it is known that Little Women star Pugh will play the housewife, whilst Lane, 28, has been drafted in as a replacement for Dakota Johnson, who bowed out of the movie due to scheduling conflicts.
It is not the only scheduling problem that has affected the project, as former One Direction singer Styles signed up after Shia LaBeouf had to depart the film.