Hamilton is on the brink of a record-equalling 91st career win this weekend and well on the way to matching Michael Schumacher's seven titles.
Four members who came into contact with the infected individuals returned negative results on Friday, but the quartet will not be involved for the remainder of the weekend.
The Nurburgring, which has not featured on the F1 calendar since 2013, is known for bad weather, but a grand prix has never been held at the circuit this late in the year.
The Austrian said every precaution was being taken to shield six-times world champion Hamilton and Bottas, who is 44 points behind the Briton after 10 races, at the racetrack and elsewhere.
"It's certainly not a great situation for them because you nearly need to live like a hermit and that's what they are doing".
With the plan in place, the FIA, teams and drivers will all be hoping it will allow for the completion of the grand prix. They are at home, they are not going out for dinners, they are not meeting any other people within the team.
Neurologic symptoms found in 4 of 5 hospitalized covid patients
In contrast, 89% of patients without altered mental function were able to manage such activities without assistance. He said doctors generally should be on the lookout for any signs of neurologic distress in Covid-19 patients.
Wolff said debriefs are carried out by video conference so "they're not sitting with the engineers in the room, they're in their own rooms". They step into the vehicle, we keep our distance while we belt them in and then they drive.
Wolff said he believed Mercedes had the outbreak under control.
Friday practice for this weekend's Eifel Grand Prix was cancelled when fog prevented the medical helicopter from operating during the morning and afternoon sessions.
Koblenz is a 45-minute drive away, meaning a green light for any track running this weekend is dependent on the medical helicopter being able to fly.
The Ferrari junior driver was due to drive Antonio Giovinazzi's Alfa Romeo in the session, and his Formula Two championship rival, Callum Ilott, was scheduled to drive Romain Grosjean's Haas. The condition of the 51-year-old remains a closely guarded secret following his skiing accident on the French Alps nearly seven years ago. An announcement - which would see the Schumacher name return to the grid for the first time since 2012 - could be made later this month.