My Adult Dog Won't Leave Our New Puppy Alone! Help?

We just got a new puppy and we also have a 1 year old poodle. The Poodle is pretty well behaved and I still train her everyday...I have a problem though, she will NOT leave our new puppy alone! The puppy is constantly being playfully harassed...( As in my older dog bites the puppy's neck gently to initiate play and likes to mouth him. ) The puppy seems to enjoy it to an extent but seems to want to do other things too ( such as play with toys ect. ) My poodle just constantly wants to play the mouthing game with my new puppy and I have to separate them so the puppy gets a break...

Is this normal? Does anyone have any advice?

We have had this new puppy for only a week so I am thinking some of this obsessive behavior could just be from the excitement of a new dog in the family? What do you think?

Thank you!