Ewing, 57, wanted to share the diagnosis to emphasize the wide-reaching nature of the coronavirus pandemic, according to the statement.
The university said Ewing is isolated at a hospital.
Ewing, who is now the head coach of Georgetown University's basketball team, released a statement through the elite school confirming his diagnosis.
"I'll be fine and we will all get through this", Ewing said. The first overall pick after leading Georgetown to the national championship game in 1985, Ewing was the NBA Rookie of the Year in 1986 and earned his only All-NBA First Team selection in 1990.
ESPN reports that Ewing is the "only member of the Georgetown men's basketball program to have tested positive for the virus". He went onto have a stellar professional career with the New York Knicks where he was named an All-Star eleven times during his 15 years with the Knicks (Ewing also had brief stints with the Orlando Magic and Seattle SuperSonics).
The 2008 inductee into the Naismith Memorial Basketball Hall of Fame has amassed a 49-46 record since returning to coach his alma mater in 2017. As a player, he led the Hoyas to three Final Fours and the 1984 NCAA title.