Paramedics treated her at the scene in West London and she is believed to have suffered burns to her leg.
Miss Winkleman and her husband Kris Thykier, 42, said in a statement: “Our daughter was involved in an accident on Friday night while celebrating Halloween. She is having the best care possible and we are hopeful of a full recovery.
“We would like to thank everyone who has been so supportive and particularly the NHS doctors, nurses and staff who have been absolutely incredible.”
Ms Winkleman is the daughter of Eve Pollard, Jewish former editor of the Sunday Mirror and the Sunday Express.
