“We are absolutely happy to answer those queries if and when they come up,” Jennifer Robinson told Sky News television about the rape claims.
“The key issue at the moment is US extradition, which we have warned about for many years,” she added.
The WikiLeaks founder is in custody in London awaiting sentencing for breaching his British bail conditions in 2012 by seeking refuge in Ecuador's London embassy to avoid extradition to Sweden.
He was arrested at the embassy on Thursday after Ecuador gave him up, and is now also fighting a US extradition warrant relating to the release by WikiLeaks of a huge cache of official documents.
The Australian has always denied the claims of sexual assault and rape in Sweden. The first expired in 2015 and the other was dropped in 2017, but the alleged rape victim has now asked for the case to be reopened.
If Stockholm makes a formal extradition request, the British government will have to decide whether to consider it before or after that of the United States.
Robinson said Assange would seek assurances from Sweden that he would not be sent on to America, saying: “That is the same assurance we were seeking in 2010 and the refusal to give that is why he sought asylum.”
She added: “He's not above the law. Julian has never been concerned about facing British justice or indeed Swedish justice. This case is and has always been about his concern about being sent to face American injustice.”
The US indictment charges Assange with “conspiracy” for working with former US Army intelligence analyst Chelsea Manning to crack a password stored on Department of Defence computers in March 2010.
He faces up to five years in jail.
Manning passed hundreds of thousands of classified documents to WikiLeaks, exposing US military wrongdoing in the Iraq war and diplomatic secrets about scores of countries around the world.
The conspiracy charge against Assange seems intended to sidestep limits on prosecution potentially arising from the US Constitution's First Amendment guarantee of press freedom.
But Robinson insisted: “This indictment clearly engages newsgathering activities and the kinds of communications that journalists have with sources all the time.”
The lawyer condemned as “outrageous” claims made by Ecuador about Assange's behaviour in the embassy, including that he smeared his faeces on the wall, saying: “That's not true.”
Quito also accused him of failing to care for his cat. WikiLeaks said Assange had asked his lawyers to “rescue him (the cat) from embassy threats” in October, adding: “They will be reunited in freedom.”
Assange's father, John Shipton, on Sunday urged Australia to bring his son home.