How quick???
What I was told it depended on what you put in it... since the small pouch is not really like the stomach (which was horizontal in position) with the pyloric valve (spelling?)releasing food... our pouch is not more vertical and held food that was dense (but no too much as that became lodged)... so liquids went thru fairly quickly (hence the reason not to drink during the meals) and that again dense foods would linger.
I alos understood that the swelling took about 4 - 5 months to fully go away and therefore the options of eating too dense of foods was more of an issue... but obviously depending on our future bites and chewing it would still be an issue.
Does that help?