Ivy is adorable.
You might want to consider buying a little dog house that fits under the desk. Socrates has a big molded plastic dog house that holds all his toys, and fis under the desk. I was in Big Lots, and saw a couple that were smaller that would work real well. There are some that fold. Of course he has foam rubber under a soft quilt. He does very well at taking naps, and he stays close to his mom.. He doesn't sleep in it at night, as he is a bed buddy. He isn't giving up being close.