Without knowing what year and type of bike you have, this is difficult.
For instance, I have fiber floats in my carbs, I do not get holes. Thus that does not apply.
Do now the biggest reason for overflow is stuck floats.
So check floats, they may be dirty or worn and the float seats may be dirty.
The next problem, again this is dependant on your bike, is the overflow tubes. In some bikes, these are brass and sometimes crack so check for that.
Now if this fuel is dripping from BETWEEN your carb and float bowl, then check the gasket and replace.
If it is coming out of the carbs, Then you are looking at a float issue. Dirty jets do not cause issues like this since not enough fuel can usualy get into the carb to cause the drip. The needle should not cause this either.
you are looking at something with your floats, these cause 99% of the overflow trouble.