The presenter, 43, has missed three weekends of the BBC1 dance competition in order to be by her daughter's side following an accident at Halloween.
Now Claudia has broken her Twitter silence about the upsetting incident to thank fans - and the NHS - for their support over such a difficult time.
On Friday (21 November), she wrote: "Hello Twitter. Firstly, a huge thank you to the incredible NHS doctors and nurses who are being extraordinary.
"We are bowled over by their kindness and brilliance. Matilda is doing well and although it will be a long road to recovery, she is getting the best possible care."
She went on to thank everyone for their well wishes, saying: "Thank you so much for your lovely messages - they meant everything.
"I'm coming back to Strictly this weekend but am out of practice so please bear with me."
Claudia has been absent in recent weeks while caring for her daughter Matilda, eight, who was injured while trick or treating in London at the end of October.
It's believed the child's Halloween costume came into contact with a candle and caught fire.
Fans were quick to respond to Claudia's kind tweets.
One said: "You were really missed - @ZoeTheBall did a fantastic job - just glad your daughter got the best attention."
Another said: "So glad Matilda is doing well, that's the priority. Missed you. So good to have you back."
I'm coming back to Strictly this weekend but am out of practice so please bear with me.— Claudia Winkleman (@ClaudiaWinkle) November 21, 2014
Strictly Come Dancing: It Takes Two host Zoe Ball, 43, had stepped in for Claudia while the host focused on her family. Claudia took up her presenting role alongside Tess Daly this series after Sir Bruce Forsyth retired.
Claudia has two other children - Jake, 11, and Arthur, three - with her movie producer husband Kris Thykier.
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