No, that's not an instruction...

I picked up a rotary table the other day, which has clearly suffered some abuse. One of the abuses is, it's been greased rather than oiled, despite the instruction clearly printed on the side. However, my question is, how does one inject oil into the oil nipple

? If I try to do so with my normal oil can, I just end up with all the oil dribbling down the outside of the nipple (oo-err), and none has made it inside. The ball bearing in the end of the nipple seems to move OK, and I can blow air through it, so I'm guessing i need a different end on my oil can? But can't find one for searching...
I'm assuming this is one of those things that Engineers Just Know.... care to pass it on, please?