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
A vicar from Suffolk has been recognised for his efforts to encourage fostering children, 125 years ago.
A stunning day for many with blues skies and plenty of sunshine
Badger culling has been rolled out to more parts of England in a bid to tackle TB in cattle, the Government has confirmed.