Pouch in Corner of Eye - Treatment Options?

The pouch in the inner corner of your upper eyelid is very likely a fat pad. Your eyeball is surrounded by orbital fat. As you age, the supportive ligaments that normally hold you fat in place begin to loosen, resulting in protrusion of the fat fad. So this is not new fat that is growing but the existing fat that is protruding. Eventually you may have the same problem with the other upper eyelid. The only effective treatment for this fat pad is and upper lid blepharoplasty which involved making a very fin incision hidden in your natural upper eyelid crease to access the fat pad and remove it. If there is excess skin of your upper eyelid, this would be removed at the same time. The sutures are typically removed in 3-5 days after surgery and the average patient has swelling and bruising most of which resolves with one week of surgery. The surgery of the upper eyelids is typically performed by me in an office setting under local anesthesia and takes about 30 minutes. My approach is the least invasive and thus has less recovery, faster healing and fewer risks.

It sounds like you have a fat pocket in the upper inner eyelid that is visible on front view.  Unfortunately, there is not a non-surgical treatment that I am aware of.  An upper blepharoplasty should correct that "pouch." See the attached link of eyelid procedures. Sometimes you may see a person with a similar problem. Best of luck.