Amelia weighed just 460 grams when she entered the world at 24 weeks, making her the smallest surviving baby in Australia at the time.

After a three-month fight to survive at the neonatal intensive care unit in Hobart, Amelia was moved to Launceston General Hospital last week.

Her due date passed on Saturday.

Amelia's mother Allison Pinkard, of West Launceston, said she was taken to the Royal Hobart Hospital in July, after doctors realised Amelia wasn't getting the nutrients she needed.

The next day doctors delivered Amelia by caesarean section.

"We knew she would have a better chance of survival out, than what she did in," Mrs Pinkard said.

"We felt helpless, we couldn't do anything, we had to sit back and watch all the doctors and ICU nurses just in full flight.

"The first three nights I don't think their feet hit the floor, she kept them so busy."

Amelia was given a 50 per cent chance of survival, and a 50 per cent chance of disability if she survived.

But Mrs Pinkard said her daughter was "a little miracle".

"Her head scans came back clear, she hasn't had any bleeds on her brain, her eyesight's good, hearing's good, and the hole in the heart is gone - that's closed over," Mrs Pinkard said.

When Amelia gains enough energy to feed without a tube, she will go home.

Dad Brad Pinkard said he was "extremely grateful" to Ronald McDonald House and the neonatal intensive care unit at Hobart, without which Amelia wouldn't be alive.

"There's still every chance there will be problems down the track, because she is so small, but we know it could have been a lot worse," Mr Pinkard said.