Three people have now been arrested after a child was attacked by a dog.
The child was taken to a London hospital while critically ill but her condition has since improved.
A Kent Police spokesman said: "The child continues to be treated for very serious injuries, but these are no longer described as life-threatening."
Police said the dog was shot dead after the incident in the Jenkins Dale area of Chatham, Kent on Tuesday afternoon.
A man and a teenager, both from Chatham, were arrested on Tuesday under the Dangerous Dogs Act and remain in police custody.
A third person, a woman also from Chatham, was detained on Wednesday.
A neighbour said she heard a gunshot and saw the child being carried to an ambulance.
The force has appealed to members of the public who may have footage of the incident to contact police and not to share it on social media.
Neighbours said they heard a shot fired and saw a child, reportedly a little girl, covered with a blanket being carried to an ambulance.
Jaspreet Uppal said: "First I heard a gunshot, there was a dog on the floor. A few officers carried out a child from the back area of the flats.
"There is a little park there. I could not see the child, they were covered. I think they were quite small."
Local MP Tracey Crouch said: "Horrible news from Chatham this evening. My thoughts and prayers are with the child and their family tonight."