online school and a baby?

So for those of you who are parents already or have done online school, I'm due in July and finishing my bachelors in health science online through my university starting August. Do you think I'll have enough time to take 4 or 5 classes with a newborn? I won't be working so that's a plus, my SO and I will be staying with my parents while I finish up my last year of school so we will have help. Do you think that's doable? I'm a first time mom so not 100% sure what to expect.