Britain's most successful gymnast Beth Tweddle "has managed to walk a few steps whilst being assisted by the nursing team", a statement from her parents Ann and Jerry said.
Tweddle recently underwent surgery to fuse together two fractured vertebrae in her neck after obtaining the injury during rehearsals for Channel 4 skiing show The Jump.
The couple said the timescale for their daughter's recovery is uncertain, but added the medical team were "pleased with the progress she is making".
"We are taking each day as it comes and will update you when there is further news," they added.
In a statement released on Monday - the day after her surgery - Tweddle had thanked well-wishers for their support, calling the events "very scary".
Thank you so much for your support and concern. The last 48 hours have been very scary but all the messages have really helped to keep me positive. I will keep you updated on my progress.
In Wednesday's statement, Tweddle's parents praised medical staff that have been treating her in Austria, saying: "They have been so helpful, patient and incredibly attentive. We cannot thank them enough for what they have done for our daughter."
They also thanked the programme's production team for their help and support and everyone who has sent a get well message to the former Olympian.
We've been reading every message to her and it really does make a difference knowing that there are so many people wishing her well. Thank you for your support.