Should I expect my husband to be more supportive?

My husband and I are having our second child soon. He is working and I am in law school. I have changed my schedule so that I will only be in class two days a week so I can take care of the new baby. I am planning to hire a nanny for the two days a week I will be in school. He has suggested that I take time off from school to be a full time mom instead. I asked him to talk to his employer about taking time off when the baby is born to help and his response was that he didn't want to. His job is flexible but he does not want to ask his employer about any options for time off. I feel like he expects me to make all the changes in my life to accommodate our growing family but doesn't want to change anything in his life. Should I be able to expect more support?