Meanwhile, a male officer who was stabbed three times in the neck and once in the chest remains under medical supervision, the Met said.
The update came on Saturday as police renewed appeals over the stabbings on Friday.
A man in his 20s was arrested on suspicion of causing grievous bodily harm and assaulting an emergency worker following the incident and he remains in custody.
Metropolitan Police Commissioner Sir Mark Rowley previously said a “violent struggle” involving a “frenzied individual” ensued in the West End at around 6am.
He said the female officer challenged a man she believed was carrying a knife, and he stabbed her in the arm before attempting to flee.
The male officer caught the offender, who stabbed him three times in the neck and once in the chest.
Sir Mark said a taser was deployed, and the offender was arrested while the officers were rushed to hospital.
A police cordon at the scene which covered the northern section of Leicester Square on Friday morning was scaled back in the afternoon.
Forensic officers were seen working outside a Shake Shack restaurant on Coventry Street, as well as round the corner at the junction of Rupert Street and Shaftesbury Avenue.