The bats incisor teeth are hollow, allowing them to suck blood in through the teeth like a straw, the saliva has several ingredients that prolong bleeding.
My favorite thing about this is: where does the blood go once it hits the top of the tooth? Into the gums? Into the sinuses? Out the back of the tooth and into the mouth, removing the need of a straw in the first place?
If it does go out the back of the tooth i wouldnt say that removes the need for a straw. Its like a siphon tube into a gas tank, but the tooth goes directly into the vein/artery and acts as a conduit for the blood so it doesnt spill everywhere or require a perfect suction seal with the lips.