Hi! gness......I know of no reputable studies that show a relationship between night sweats and taking prophylactic Aspirin in small doses e,g 75-100mgms once a day. I don't think that there is a relationship.
However anecdotally......people have reported night sweats on taking Aspirin, but they are also taking drugs for cardiovascular disease. e.g beta blockers ACE inhibitors and statins and i think it more likely that one or more of these is the cause of night sweats rather than Aspirin alone.
Of course, there are other causes of night sweats and if you are easily fatigued, lost weight or have a persistent cough, then you must get it checked out with your GP .
I hope i haven't missed the point of your post.