Thusha Kamaleswaran still has to spend much of her time in hospital a year on from the shooting that dramatically changed her life.
She is allowed home at weekends and her parents are organising a move to a suitably-equipped home.
The little girl, now six, is expected to be permanently wheelchair-bound after a bullet hit the seventh vertebra of her spine.
Officers and police staff were so moved by Thusha's plight that they made their own plans to raise money to help her parents fund her medical care.
Detective Inspector Jim Redmond, Detective Constable Richard Williamson and Detective Constable John Codd, are among more than 20 officers and members of police staff who will undertake the Three Peaks Challenge from September 22 to 23.
This involves attempting to climb the highest peaks in England, Scotland and Wales - Scafell Pike, Ben Nevis and Mount Snowdon - in 24 hours.
The participants are aiming to raise as much as they can for specialist equipment for Thusha to use in her new home.
They have set up a bank account for donations with HSBC. The account name is The Thusha Appeal, the account number is 12239108 and the sort code is 40-07-30.