Hi & welcome to YT. Well I don't know what having all the shots has to do with bathing, but I just think that 7 weeks is a little young to be going through the stress of a full fledged bath. I agree to just use a warm wash cloth and kind of give him a "bath" that way. I agree that a full bath would be stressful on him and/or he may get chilled.
It sounds like he is doing okay from what you wrote, but I must add that in your original post when you wrote that he is 7 weeks, my first thought was that 7 weeks is a bit young not only for a bath, but much to young to be away from his mom and siblings. Then later you write that you've had him for about 2 weeks already?!!!!!!!! So you got this pup at about 5 weeks of age
I'm no expert, but that sounds too young for any breed to be taken from it's mama, much less a yorkie. Pups normallly aren't even fully weaned at that age and they need more time with mom & siblings to learn important socialization skills. JMO
I also noticed that you typed jorkie. Was that a typo or are we talking a mixed breed? Maybe your pup is larger, which would help, but still too young to be away from his first home. I truely hope that he is doing well and continues to do well. You've come to the right place for help as there are many knowledgable people here who love yorkies. Good luck with your new baby.............we'd love to see pics of him and learn more about him.