Gabriel Aubry -- She's Not Heavy ... She's His Daughter

Gabriel Aubry kept a tight grip on 3-year-old Nahla today in West Hollywood.

Gabriel and baby mama Halle Berry are waiting for the judge's ruling in their child custody war. TMZ broke the story ... everyone is going to counseling and the L.A. County Department of Children and Family Services has recommended that the judge implement more than a dozen recommendations to lower the volume.