And although the football and basketball teams work in different buildings at the campus, the decision has been taken to send all players home to self-isolate for 15 days.
The Real Madrid were due to play Manchester City in the Champions League last-16 second leg on Tuesday, but the game could now be called off.
“Real Madrid C. F. announces that a member of our basketball first team has tested positive for coronavirus.
“The recommendation of remaining in quarantine has been followed with immediate effect, with this measure applied to both the basketball and football first teams, given that the two squads share the facilities at Real Madrid City,” a club statement said.
On Tuesday, LaLiga announced that its next two rounds of fixtures would be played behind closed doors.