Paris Saint-Germain sporting director Leonardo collapsed after his club secured the Ligue 1 title on Sunday.
The Brazilian was rushed to hospital in the French capital on Monday to undergo tests on the fall and it is believed that he had a blood-pressure problem.
As a result of his collapse, the former AC Milan and Inter coach did not participate in PSG's bus parade through the city of Paris.
Club president Nasser Al-Khelaifi told reporters: "Leonardo give his heart and his health for the club."
Carlo Ancelotti's side claimed a 1-0 win over Olympique Lyonnais on Sunday to clinch their title, their first since 1994, having led Ligue 1 for much of the season.
Jeremy Menez scored the decisive goal just after the break at Stade Gerland.