The 24-year-old was linked with a move to Manchester United during the recent transfer window and Cairo has revealed that interest still remains.
However, the Granata chief hopes that Ogbonna will resist a move and stay in Turin.
"A lot of clubs are still very interested in Ogbonna," Cairo told Tuttosport.
"In June we'll sit down and evaluate together what to do next. Maybe he'll have a desire to stay here for a bit longer."
Ogbonna has won five caps for Italy.