Mika will be "eternally grateful" to the medics who saved his sister's life.
The 'We Are Golden' singer has spoken out in praise of the helicopter team and medical staff at the Royal London Hospital who treated his 28-year-old sibling Paloma Penniman after she was impaled on railings after falling out of her apartment window on October 10.
He wrote on his official website: "On behalf of my whole family, we would like to thank everyone for their thoughts and kindness over the past week. Paloma is in a stable condition at the Royal London Hospital.
"She has undergone extensive surgery to her legs and surgery to her abdomen. Although she is in a lot of pain, things are looking remarkably good considering what happened.
"Over the coming weeks, Paloma will undergo more surgery and start her rehabilitation programme. Her recovery will be a long and difficult one but at this point in time there is no reason to believe that it won't be a successful one.
"Paloma and the whole family feel extremely lucky and we are eternally grateful to the helicopter response unit, doctors and nurses of the Royal London for saving her life.
"Every card, text message and bunch of flowers has been shown to Paloma. We are extremely grateful to you all for keeping Paloma in your thoughts and prayers."
Paloma was believed to be sitting on a window-ledge three floors up in her home in Kensington, west London, when she lost her balance and fell onto spikes.
Mika, 27, had been out for dinner with his sister earlier in the evening and was at her home when the incident happened.