Violet,
I've been trying to find an "official" answer to this for you most of the day. In between work I did various google searches in various sleeve forums but could not find anyone asking quite the same question.
I think the answer is "no" but this is my lay person's opinion -- I had hoped to be able to find a link that might contain a bariatric surgeon's answer for you.
BRIEFLY: i don't think drinking water is EVER likely to cause you any problems -- you say that you are "not a slow drinker" -- huc hum, I have news for you -- you probably will be after your sleeve op !!!
Most post surgery sleevers find it VERY difficult to get enough into their "pouch" (sorry sleeve) for the first few weeks after surgery, and also find it very difficult to drink more than tiny tiny sips of water.
This gradually increases as you heal in the following 3 - 6 weeks post surgery and you will *slowly* adapt to being able to eat and drink *slightly* more each week.
ALSO: i did read once that the only thing that might put a teeny bit too much pressure on the staples is going onto pureed / mashed food TOO SOON (i.e. after 7 or 10 days) -- the staples and new sleeved stomach needs time to heel and sticking to liquids for at least 3 weeks gives the staple line the best chance of healing.
However, even with that proviso, the likelihood that you will be able to eat "too much" is very unlikely -- if you push things (with 5 ounces of food instead of 3 ounces) the "overspill" would end up in your esophagus and cause heartburn / acid reflux ..... that is why portion control is very important.
First 6 months post sleeve: maximum 3 to 4 ounces per meal (start with 3 ounces and gradually increase to 4 ounces)
After 6 months: possibly 6 ounces -- but be guided by your body -- it will let you know if you are over filling your sleeve -- either you will feel it in your chest / esophagus, or you will vomit.