We "push" our primips routinely with no doctor at the bedside. Despite rapid progress in the first stage of labor, the pushing phase can take 1 1/2 to 3 hours, very normally, in a primip. Our doctors are more than readily available to come in when we need them, so with primips, I have them push until right before the baby "rounds the corner" (comes under the pubic bone), if the desire to push is really there.
If the baby makes very rapid progress in the birth canal at first or 2nd push, then I have them stop, if possible. In strong urges to push, that a patient can't fight or stop, and the baby is absolutely coming no matter what I do, I deliver the baby----mom's gonna push no matter what I say in cases like this, you know? And in cases like this, I would rather let her grunt her baby out in a controlled manner than pushing like crazy to tear herself up. They can be coached, as long as we work with them.
In patients who have epidurals, and lack the urge to push, I simply let the baby "labor down" as low as possible before seeing how they do at pushing and calling in the doctor. It's been for me, a rare primip who pushes a baby out in less than 30 minutes to an hour.