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Mel Gibson, Oksana Grigorieva

BERTRAND LANGLOIS/AFP/Getty Images; Michael Caulfield/OG/Getty Images

Mel Gibson's going to have to persuade a judge that he's a good dad in person.

The actor, who has mainly let his lawyers do the talking so far, is planning to testify in his ongoing custody dispute with estranged ex-girlfriend Oksana Grigorieva, a source close to Grigorieva tells E! News.

A closed-door hearing is scheduled for tomorrow in L.A. Superior Court.

The source tells us that Grigorieva, who is seeking sole custody, is unhappy about her current arrangement with Gibson, in which their 1-year-old daughter, Lucia, spends three days and two nights a week at her dad's place.

Gibson gave a deposition in the custody case a week ago.

These proceedings are not to be confused with the ongoing investigation into whether Gibson got violent with Grigorieva or whether she tried to extort money from him. No criminal charges have been filed against either of them.