bleed the system

The act of draining a substance while, simultaneously, consuming said substance.

Example 1:

I really had to drop a deuce mid dinner, so instead of letting it get cold, I bled the system; I finished it while on the can.

Example2:

Q: where's Squirty?

P: he went to the bathroom to bleed the system.

Q: bleeding the system?

P: he didn't want to leave his beer unattended so he took it with him to piss.

Q: atta' boy, no sense in sobering up mid piss!