The independent member for Indi had both legs amputated after being repeatedly struck by a four-wheel drive in Wangaratta, in northern Victoria, on October 19.
The attack left her fighting for her life in a critical condition.
On Friday, the Alfred Hospital in Melbourne announced Dr Haines was now in a stable condition, and daily updates would no longer be shared.
The alleged attacker, 43-year-old Brendan Nugent, was charged with offences including causing harm to a Commonwealth public official and faced Wangaratta Magistrates Court in October.
He is yet to enter a plea and will return to court in February.
The alleged attack sparked daily reviews into parliamentarians' safety, with many in public-facing roles experiencing threats.
Security in Parliament House's public places has also been increased.
Prime Minister Anthony Albanese led tributes to Dr Haines when parliament returned for the first time following the incident.
Dr Haines was described as the "matriarch of the crossbench" by her friends and colleagues, some of whom were emotional.
The silhouette of a cockatoo, cut from orange card, was placed on Dr Haines' chair by close friend and colleague Zali Steggall.
The alleged attack has also led to efforts to protect parliamentarians from online harm, which will be top of the agenda at an international forum with Mr Albanese and his British counterpart, Andy Burnham.
The high-profile gathering will convene for the first time in 2027.
A fundraiser for charity Save the Children, set up by Dr Haines' family in lieu of flowers, has surpassed $1.4 million in donations.
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