Only the mother's ability (again, or non-Ditto parent's) is relevant. What you would have to do is leave the male Eevee and a Ditto in the daycare until you end up with a female that keeps the HA, then you can use that. If you try to catch another Eevee instead, and it happens to be a female without HA, putting both Eevees in the day care together will give you eggs that have exactly 0% chance to get Anticipation despite the father having it.