"Count three, the count of murder, has not been put to the defendant because medical reports are awaited in relation to that allegation - although the defendant accepts responsibility for the killing".
Everard's killing sparked anger and soul-searching about what police, government and society can do to stop male violence against women, the BBC reported on Tuesday.
The next hearing is due to take place on July 9.
At the beginning of this month, a post-mortem revealed she had died as a result of compression of the neck.
Police officers carry flowers from members of the public at Great Chart Golf and Leisure near Ashford in Kent following the discovery of human remains in the hunt for missing Sarah Everard, March 11, 2021.
She was discovered inside a large builder's bag and was formally identified through her dental records.
Couzens, who was attached to Scotland Yard's Parliamentary and Diplomatic Protection Command, was arrested at his home in Kent where he lives with his wife and two children. There is no suggestion anyone else was involved.
The police also came under fire for their handling of a vigil for Everard when officers were criticised for dragging mourners away.