I see it could be two ways. One: the big dog is very kind and left the big bed for the pup. Two: the pup went on the big bed and left the small bed for the big dog. In that case, if I was the big dog, I would just lay on the small dog (or around it).
Someone posted a whisper in the group Really random thoughts, which reads "Different ways of saying "I love you" : "Put your seat belt on." "Watch your step." "Did you eat?" "Get some rest." You just have to listen.