The country’s parliament recently passed a measure - backed by PM Anthony Albanese - calling for the return of Mr Assange to his native Australia.
The US wants to extradite the 52-year-old from the UK on criminal charges over the leaking of military records.
Mr Assange denies the charges, saying the leaks were an act of journalism.
The president was asked about Australia’s request on Wednesday and said: “We’re considering it.”
We really didn’t say the same thing