Some filming for the ITV soap has had to be rescheduled and the actor is self-isolating at home.
A spokeswoman for the programme did not confirm the identity of the actor.
She said: “Although we do not believe anyone has been within two metres of the individual, as a precaution, the production team who were working with the individual have been notified.
“In keeping with health and safety guidance, we have also undertaken an intensive clean of touch points in the cohort area where the individual was working and areas of the building they visited.
“We believe the situation has been contained and filming continued on Monday.”
Coronation Street resumed filming in June after initially being halted in March.
Some older stars are yet to return to filming.
Last week, actress Maureen Lipman, who plays Evelyn Plummer in the soap, described new social-distancing measures on set as “really weird”.
She told the BBC’s The One Show: “We did a sort of fight scene last week and I’m trying to get between two men who are two metres apart, and I’m in the middle going ‘pack it in, pack it in’.
“It’s challenging, we are having to be resourceful, it’s a war, a war against a virus and we’re having to throw everything we’ve got (at it).”
