The Care Quality Commission says both Colchester Hospital and Essex County Hospital need to make further improvements to their services.
The Trust, which runs both hospitals, has been in special measures since last October.
The Trust says significant progress has been made but there is more to do.
More top news
Dappy admitted brandishing a butcher's knife during a row with his partner Imani Campbell outside their home in Hatfield.
Most places dry overnight. Showery rain tomorrow
Ipswich Town are set to confirm the signings of Cardiff City midfielder Emyr Huws and Manchester City winger Bersant Celina.