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Elba, 48, tested positive for COVID-19 back in March, though he was never symptomatic.
It's unclear if the Netflix film's cast or crew member who tested positive was symptomatic.
Reps for Netflix did not immediately respond to Fox Business' request for comment.
Jonathan Majors, Zazie Beetz, LaKeith Stanfield and Delory Lindo also appear in the flick, which follows a man looking to avenge the death of his parents.
"The Harder They Fall" is not the first major film to have shut down production due to a COVID-19 scare -- "The Batman" and "Jurassic World: Dominion" both temporarily shut down filming due to a positive test.
"The Batman" star Robert Pattinson is rumored to have been the positive case that prompted the production shutdown. He recently was spotted on set for the first time since then.
The future of films in production is currently unclear as coronavirus cases are once again surging, which could prompt another shutdown of the industry. However, studios and unions have reached an agreement over safety precautions that could see the industry move forward.