Heard was granted a temporary restraining order against her estranged husband May 27 after submitting a sworn declaration in which she alleged Depp threw her cellphone at her face and repeatedly hit her.
TMZ reports that legal representatives for the two stars are currently negotiating a settlement and a mutual agreement to stay away from one another.
Sources told the site the lawyers will thrash out all matters involving the divorce, including property settlement and spousal support.
It was previously claimed the 30-year-old actress had requested $50,000 a month in spousal support and now it is said the 53-year-old actor - who she was wed to for 15 months - may agree to that for a period of time, probably around eight months.
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Any settlement will involve all claims they may have against one another, meaning Amber couldn't file a civil suit for the alleged domestic violence.
Just a day before the hearing was postponed, it was reported the Magic Mike XXL star and two of her friends were planning to testify.
Amber, her pal iO Tillett Wright and her neighbour Raquel Rose Pennington were all said to be willing to provide evidence on the former couple's toxic relationship.
A source said: "Amber and two of her friends are willing to testify under oath about exactly what happened with Depp. This will put an end to anyone who has doubted her story and his lawyers' claims that this is about money."
Johnny has denied the allegations of abuse.
- Bang! Showbiz, AP