It is a stage of development, but she may always have a preference for you, which is hard on both you and your husband. He'll feel rejected and possibly resentful, and if you both allow it to, it may cause an undo burden of care to fall to you, plus you may feel guilty that she gives you all her love and attention.
What I tried, and it worked a little, was to say that mommy, daddy, and you are all a team, we all need to work together. Sometimes mommy will put you to bed (give you a bath, whatever the task is), sometimes daddy will, we need to take turns and work together. Especially since you have a new baby coming, you need a strategy so that there will be some balance to the workload, or you'll be completely worn out. (or you can just assign absolutely all child care for new baby to hubby - difficult if you are breast feeding)
Good luck, you're not doing anything wrong, but having a clingy child can be challenging.