The closed-door hearing is set for Wednesday in Superior Court in Los Angeles.
Gibson, 54, and Grigorieva, 40, share custody of their daughter, with Gibson seeing her every other day and getting overnight visits.
After Gibson and Grigorieva's two-year relationship ended in April, the pair have traded angry accusations, with Grigorieva alleging domestic violence and Gibson claiming she subjected him to extortion.
No criminal charges have been filed against either Gibson or Grigorieva.
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