On Friday, Heard's attorneys also asked the judge to allow them to prove that Depp might have been violent towards other, past partners.
Despite Depp's claims that it was irrelevant, the judge sided with Heard.
Heard's lawyers previously tried to keep the case private. She said she did not want aspects of her personal life or of the lives of people close to them to be made public.
Depp's attorneys have repeatedly claimed he has 'nothing to hide'.
'Having been sued for defamation her notorious abuse hoax, Amber Heard’s #TimesUp lawyer doesn’t waste any time trying to prove the unprovable, or dispute the mountain of evidence showing her fraud.
'Instead, they do what the guilty always do, compounding the original crime with new false abuse allegations and other smearing innuendo.
'There is a public trial February 3, and that is when truth replaces PR.'
Depp's past partners include Vanessa Paradis, the mother of his two children who previously spoke out in defense of him and the allegation that he would be violent 'outrageous'.