John Farnham's recovery is "progressing well" and the singer has been moved into a rehabilitation facility after his cancer surgery, the family says in a statement.
The You're the Voice singer underwent surgery in August for nearly 12 hours to remove the cancerous tumour from his mouth.
His wife, Jill Farnham, and their sons Rob and James Farnham, said the 73-year-old performer was making progress in his recovery.
"John's recovery from last month's surgery for mouth cancer is progressing well," they said in a statement.
"His medical team are very pleased with his progress over the past month.
"He was moved from ICU and into a general ward a couple of weeks ago. That in itself was terrific progress."
They said he was transferred to a rehabilitation facility this week.
"Each of these steps means things are moving in the right direction and for that we are enormously thankful," they said.
As Farnham does not have a social media presence, the family says fans can leave well wishes at the dedicated website weloveyoujohn.com.au.
Farnham is one of Australia's most successful performers, with his 1986 album Whispering Jack selling more than 1.6 million copies.
He was named Australian of the Year in 1987, and has won 19 ARIA awards.
