Bicycle's inner-tube got puncture right next to the valve, How to patch it there? There is a very small cut 1-2 millimeter or less long in the inner-tube, right next to where it's the bottom of the Schrader valve. The cut is only 1-2 millimeters far away from the valve's bottom. 

The hole has a shape of a cut, parallel to the valve's edge, and it's very close, so it's very obvious likely that the valve was part of the reason (the other reason being the valve moved a lot probably because the inner-tube was not inflated.) Air escapes out of the hole so it needs to be repaired.

I don't know if I can put a normal patch, because if the patch's edges detach even only a millimeter from the inner-tube, the hole will no longer will be covered and air will again escape. Any idea? 
I give my 2 ideas:


Take a bike patch and cut a round hole in the middle, and then patch the inner tube with it, as if it were a ring, hugging the valve by all sides.
Get some super glue or cement that covers the hole somehow.
That's a very hard area to patch properly (if its even possible), and I'd recommend putting a new tube in instead of trying to patch it. . 

I'd also check that the rim tape on the rim is intact and in good condition, cause otherwise if its busted, you're going to get another cut. Also, as pointed out by ChrisH in the comments, rough edges on the rim hole can also cause this problem (you can use a small file to smooth them out, if that is the case).