In an update to a Givealittle page set up by a workmate, Alen Alsati's father said she was able to sit up for half an hour. However, they are unsure what Alen can and can't see and her eyes do not track or fix on anyone.
"Please keep praying for us - every small development is very exciting," the family said.
Speaking to Checkpoint last week, her father - Christchurch barber Wasseim Alsati - said he would always take Alen for a fluffy and two marshmallows on Friday mornings, and then take her home before prayers - but that day they went to the mosque together.
He said he believes Alen would be dead if he had not lifted her up just as the gunman fired.
Mr Alsati was shot three times during the attack and has since been discharged from hospital. He is now by his daughter's side at Starship Hospital.
While he was still in hospital he said Alen went through a number of major surgeries.
"She has brain damage at the moment, and the doctors tell us it will be four to six months to know how bad the damage is," he said at the time.
"My daughter she wake up and she don't know us. She cannot see us or cannot hear us at all. I don't know if my daughter is cold or warm. My daughter is not replying back to me at all. We are all waiting."