My Lucy gets up when I do. I tend to agree with the other members here that if the puppy is in your bed, he'll likely be content to stay put longer. As soon as I get up, though, she MUST go out to do her business - even before me which I dare say is difficult.
Also, I do believe that exercise during the day helps tire the pup out quite a bit. And with such a small dog, it's not all that much exercise either. During our last walk of the evening (about 10 pm) after Lucy goes, we RUN like the wind! Then, we come inside and play "get the squirrel' with her toy for a good 20 minutes. After that, she's pretty much zonked.
A younger puppy also can't hold it as long either, so you should see some improvement over time. Maybe extend the time by not responding as soon as he whines so he gets used to a later time.
Good luck. Tracey