I think they normally say that baby's head becomes fully engaged in the last few weeks of pregnancy with your first. At 36 weeks, my son's head was 3/5ths engaged, it was the same at 38 weeks and still the same when I went into labour. I thought it meant I would go overdue. I remember coming away from my 38 week appointment really disappointed being desperate to get my son out but it didn't have any effect. He was only a day late x