There are various oral medications available known to be prescribed by some doctors to help treat hyperhidrosis.
Ditropan, Robinul, Probanthine
All these oral medications are from the same family of drugs. They have an anti cholinergic effect which in essence blocks the neuro transmission responsible for the production of sweat. All of these medications are not specifically for hyperhidrosis but have been known to have the side effect of dryness. Among other side effects they can cause blurry vision, dry mouth, etc. The success rate is known to be very limited.
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Other oral medications people use are mild sedatives for example Xanax. This is a very non specific medication that sometimes reduces the sympathetic overtone. Another type of medications being used is a group of medications known as beta blockers. Those medications are being used in the treatment of certain cardiac problems such as hypertension. They may also have some sedative effect on the adrenergic system which plays a role in the production of excessive hand sweating/palmar hyperhidrosis.
***As always consult with your doctor first when considering any treatment