Kate Stone, 44, from Cambridge, is "progressing daily" in hospital and has been moved from the high dependency unit to a regular ward. She was injured by the animal near Fort William in the Highlands in the early hours of December 30.
She was placed in an induced coma on New Year's Eve following an operation at Glasgow's Southern General Hospital to repair damage to her windpipe, and was taken off sedation the following week.
A statement released by a work colleague said: "Kate is now able to speak to her family and nurses as well as walk short distances.
"She will continue with her physiotherapy and hopefully continue to improve."