I also have a beautiful puppy and i arrange not only one but a variety of sweater coats for my puppy,so my opinion is that you should arrange at least one sweater coat for your puppy.
I modified a couple of old wool sweaters for my Dobies. They get like to go into our bedroom and crawl under the covers when they get cold if we don't keep the bedroom door closed. Enjoy that puppy, and have fun!
In past my puppy also having the same problem,so i brought couple of sweater coat for my puppy.I also suggest you to buy sweater coat for your puppy.