Lisbon will also stage the semi-finals and final of the competition.
The last eight will begin in Lisbon on Wednesday amid tight health safety protocols to prevent a coronavirus outbreak from derailing the competition's finale.
No other clubs involved in the quarterfinals have reported positive tests among its players recently.
Atletico have confirmed they will now be following the official guidance issued by UEFA to clubs in the event of positive tests within the playing squad.
The club said both individuals concerned were now isolating at home, adding that health authorities in Spain and Portugal had been informed, along with UEFA, the Spanish and Portuguese football federations and Spain's National Sports Council.
"The club will coordinate the new timings with UEFA and as soon as a new plan will be made, it will be made public". The other one-game series will involve Barcelona v Bayern Munich on Friday (Saturday NZT) and Manchester City v Lyon on Saturday (Sunday NZT).
Atletico Madrid have confirmed that two senior players have tested positive for coronavirus following the most recent round of medical checks.
Earlier this week Atletico had to cancel a friendly for their women's team after a positive test within the group.
This requires a fresh run of tests to be carried out throughout the entire club, on a daily basis.
As a result of the positive cases, the whole team will have to be tested again before travelling to Lisbon for the Champions League tie.
Real have since been knocked out of the Champions League but Sevilla are still involved in the Europa League. Diego Simeone's team were eliminated by Juventus in the round of 16 last season.